Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2x. She makes these two statements:

1. As x increases infinitely, the y-values are continually doubled for each single increase in x.
2. As x decreases infinitely, the y-values are continually halved for each single decrease in x.

She concludes that there are no limits within the set of real numbers on the range of this exponential function. Which best explains the accuracy of Geraldine’s statements and her conclusion?

Statement 1 is incorrect because the y-values are increased by 2, not doubled.
Statement 2 is incorrect because the y-values are doubled, not halved.
The conclusion is incorrect because the range is limited to the set of integers.
The conclusion is incorrect because the range is limited to the set of positive real numbers.

Answers

Answer 1

Answer:

The conclusion is incorrect because the range is limited to the set of positive real numbers.

Step-by-step explanation:

Answer 2

The conclusion is incorrect because the range of the function f(x) = 2x includes all positive real numbers.

What is a function?

A relation is a function if it has only One y-value for each x-value.

Statement 1 is actually correct, because as x increases by 1, the value of f(x) = 2x is multiplied by 2.

Therefore, the y-values are indeed doubled for each single increase in x.

Statement 2, however, is incorrect, because as x decreases by 1, the value of f(x) is divided by 2, not halved.

Therefore, the accuracy of Geraldine's statements is mixed.

The range of the function f(x) = 2x includes all positive real numbers, not just integers or positive integers.

Therefore, the conclusion is incorrect because the range of the function f(x) = 2x includes all positive real numbers.

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Related Questions

(+5) - (-7)

thank you in advance

Answers

Answer:

12

Step-by-step explanation:

The answer is positive 12

Please i really need help​

Answers

Port george i believe is the right answer

A suitcase measures 21 inches by 16 inches. What is the length of the diagonal of the suitcase to the nearest tenth of an inch?

Answers

Answer:

Step-by-step explanation:

we have a rectangle that measure 21 inches by 16 inches

to find the rectangle(which is the hypotenuse)  we will use Pythagorean theorem

c^=a^2+b^2

c^=21^2+16^2=697

c=[tex]\sqrt697}[/tex] =26.40 which rounded to the nearest tenth =26

3 1/2 x 2 3/4 divided by 1 1/2

Answers

Answer:

The answer to the question provided is

[tex]6 \frac{5}{12} [/tex]

Answer:

[tex](3 \frac{1}{2} \times 2 \frac{3}{4} ) \div \frac{11}{2} \\ = ( \frac{7}{2} \times \frac{11}{4} ) \div \frac{11}{2} \\ = ( \frac{77}{8} ) \times ( \frac{2}{11} ) \\ = ( \frac{7}{4} ) \\ = 1 \frac{3}{4} [/tex]

If you can answer 10, 11, and 12 for me that would be awesome. (12 multiply choice would be in the comments)

Answers

10: 3
11: 2
and can’t see 12

A store is having a 20%-off sale on its video games. What is the amount of the discount on a game that regularly costs $25?

Answers

Answer:$20

Step-by-step explanation:

$25x.20=5

$25-5=20

Will mark brainliest
There are 16 cats and 14 dogs in a local animal shelter.

Which phrase describes a ratio relationship between the two quantities?



A. the number of dogs in the shelter compared to the number of cats in the shelter


B. the number of cats in the shelter compared to the number of cats in the shelter

C. the number of cats in the shelter compared to the number of dogs in the neighborhood


D. the number of dogs in the shelter compared to the number of rabbits in the shelter

Answers

Answer: A

Step-by-step explanation:

the table shows the number of gold metals won by united states athletes during the summer olympics

Answers

Answer:

A

Step-by-step explanation:

If f(x)=2x and g(x) = x-4 what is the value of g(f(3)) ?

Answers

Answer:

The value of g(f(3)) = 2

Step-by-step explanation:

We are given:

[tex]f(x)=2x[/tex]

[tex]g(x) = x-4[/tex]

And we need to find g(f(3))

First we need to find g(f(x))

by putting the value of f(x) into g(x) i.e put x = 2x

[tex]g(x)=x-4\\g(f(x))=2x-4[/tex]

Now, we need to find g(f(3)) by putting x = 3 in g(f(x))

[tex]g(f(x))=2x-4\\Put\: x=3\\g(f(3))=2(3)-4\\g(f(3))=6-4\\g(f(3))=2[/tex]

So, the value of g(f(3)) = 2

A house cost $320,000 in 2005. By the year 2019, its value was $560,000. What was the growth rate as a percent for that 14-year period? (Remember, i=(p^2/p^1)^1n−1

Answers

Answer:

Growth rate = 4.08%

Step-by-step explanation:

Rate of interest 'i' for the growth in the cost of the house,

i = [tex](\frac{\text{Final amount}}{\text{Initial amount}})^{\frac{1}{n}}-1[/tex]

Here 'n' = Duration or time (in years)

i = [tex](\frac{560000}{320000})^{\frac{1}{14}}-1[/tex]

i = [tex](\frac{7}{4})^{\frac{1}{14}}-1[/tex]

i = 1.0408 - 1

i = 0.0408

i = 4.08%

Therefore, growth rate for this period is 4.08%.

Can someone help me plzzz!!

Answers

Answer:

Multiply dno. plus nume. by 2

Step-by-step explanation:

get a base of 100

I think the most like option is option 3

colin buys a tv for £780. It depreciates at a
rate of 5% per year. how much will
it be worth in 6 years

Answers

Answer:

Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.

four rolled-up dollar bills seeming to grow out of dirt, with a miniature rake lying in between them

SIMPLE ONE-TIME INTEREST

I=POrA=P0+I=P0+P0r=P(1+r)

I is the interest

A is the end amount: principal plus interest

P

0

is the principal (starting amount)

r is the interest rate (in decimal form. Example: 5% = 0.05)

Step-by-step explanation:

5. The sides of a triangle are in the ratio 4:5:6. What is the length of each side if the
perimeter is 45 cm?

Answers

Answer:

12, 15, 18

Step-by-step explanation:

4+5+6 = 15

45/15 = 3

multiply 4 x 3 = 12

multiply 5x 3 = 15

multiply 6 x 3 = 18

5 pts
Question 17
A right triangle has a base of 3m and a height of 4m. What is the area of
the triangle if it has been dilated by a scale factor of 2?
*Hint: Area =
base height
2
O 12m
O 24m
O 10m
O 6m

Answers

9514 1404 393

Answer:

  (b)  24 m²

Step-by-step explanation:

After dilation by a factor of 2, the base is 2×3 m = 6 m, and the height is 2×4 m = 8 m. Then the area of the dilated triangle is ...

  A = 1/2bh

  A = 1/2(6 m)(8 m) = 24 m²

The bowling alley charges a set fee for shoe rental and charges per game bowled. The total
cost of bowling can be modeled by c(b) = 5.75b + 4.25 Which statements about the function
are true?
I.
The cost for each game of bowling is $5.75.
II.
The shoes cost $5.75 to rent.
III.
The number of games bowled is represented by b.
1.
I and II only
2.
I and III only
3.
II and III only
4.
I, II and III
Submit Answer

Answers

Answer: (2.)

1 and 111 only

Step-by-step explanation:

The population of an endangered bird was about 230,000 in 2001. The equation y= 200,000(0.75)^x describes the bird la population, let x represent the number of years since 2001. Using the equation, how many birds will there be in 2021?

Answers

Answer:

634

Step-by-step explanation:

The population of the birds in 2001 = 230000

From 2001 to 2021 = 20 years

Given:

y = 200000[tex](0.75)^{x}[/tex]

where x is the number of years since 2001.

The population of the birds after 20 can be determined by;

y = 200000[tex](0.75)^{20}[/tex]

  = 200000(3.171211939 x [tex]10^{-3}[/tex])

  = 634.2424

y = 634

Thus, there would be 634 endangered birds in 2021.

on a timer help me fast plssssssssssssssssssssssssssss

Answers

Answer:

22+x<=55

D

Step-by-step explanation:

Please help!! the temperature at wonder lake is 12°f. during a storm, the temperature changes by -26° f. what is the temperature after the storm

Answers

Answer:

-14°F

Step-by-step explanation:

First, we start at 12°f. Then, the temperature changes by -26°f. This means that we add (-26°f) to what we currently have. We then have

12 + (-26)

= 12-26

= -14°F

23 I hope this helps

If x and y vary directly, and x = 12 when
y = 4, what is the value of x when y = 1 ?

Answers

When y = 4, x = 12...that means x is 3 times bigger than y. So if y = 1, then x will now = 1 x 3 = 3

PLZ HELP!!!
write an equation to match this graph.

Answers

The answer to that is Y=5x

Answer:

y = 1/5x - 5

Step-by-step explanation:

slope intercept form: y=mx+b

m is the slope

to find slope, do rise/run. for this graph it comes out to be 2/10, which simplifies to 1/5

b is your y-intercept, aka where the line comes in contact with the y-axis

by calculating your slope, you can then find that if you follow the 1/5 slope, but make it a negative, your line would cross the y-anix at -5

therefore your answer is: y = 1/5x - 5

hope this helped!

HELPPPPPPOPPOPPPPP???

Answers

z = 106

y = 74

Since angle 74 and angle y are the same sizes, you can know for a fact they are the same measurments. Next, you would do 74(2) and that would get you 148. 360 - 148 is 212. 212/2 is 106. TADAAAAA. That's the answer.

Helppppp asap!!!!! Solve the inequality 4−23x>2−x for x. Show your work below.

Answers

Answer:

1/11>x

Step-by-step explanation:

4−23x>2−x

 +23x to both sides

4>2+22x

 -2 from both sides

2>22x

  Divide by 22

1/11>x

A rectangular table top has dimensions as 1.52m and 0.75m. Find the perimeter in cm

Answers

That is a question about perimeter of rectangle.

The perimeter of a geometric shape is the sum of the value of the all sides.

In a rectangle, the opposite sides are cogruentes (equals). For example, look at picture below. In that rectangle, the sides AB and DC are equals, and the sides AD and BC are equals.

So, the sides of that rectangular table are: 1.52m, 1.52m, 0.75m and 0.75.

Therefore, the perimeter of that rectangle is [tex]1.52+1.52+0.75+0.75= 4.54[/tex]m.

But that is not the final answer because that is the perimeter in meters and the question want the answer in centimeters.

1 meter has 100 centimeter, so we need to multiplicate the perimeter by 100.

Thus, the perimeter of that rectangular table is [tex]4.54\cdot 100 = 454[/tex]cm.

The sixth-grade chorus has a boy-to-girl ratio of 3:8. If the total number of chorus members was 11 last year and 33 this year, how many boys and girls were there for each of these two years?

Answers

1st year =3 boys 8 girls
2nd year= 9 boys 24 girls

Determine if the data is skewed or symmetric.

Answers

Answer:

skewed

Step-by-step explanation:

Solve the fraction problem and reduce the answer to simplest form:
1/5 + 3/4 = ??
7/9 - 3/5= ??
6/8 - 2/7 = ??
5/6 + 5/10 = ??
7/8 - 2/3 = ??
8/10 + 5/6 = ??
9/11 - 2/3 = ??

Answers

Answer:

1. 19/20

2. 8/45

3. 13/28

4. 4/3

5. 5/24

6. 49/30

7. 5/33

Fractions are integers that have both a numerator and a denominator. Fraction comes in the form: [tex]\frac{x}{y}[/tex]

where x = numerator and y = denominator.

a) 1/5 + 3/4

We find the Lowest common denominator (5, 4) = 20

Hence: 4 + (5 x 3) / 20

= 4 + 15 / 20

= 19/20

b) 7/9 - 3/5

We find the Lowest common denominator (5, 9) = 45

Hence: (7 x 5)  + (9 x 3) / 45

= 35 - 27 / 45

= 8/45

c) 6/8 - 2/7

We find the Lowest common denominator (7, 8) = 56

Hence: (6 x 7) - (2 x 8) / 56

= 42 - 16 /56

= 26/56

= 13/28

d) 5/6 + 5/10

We find the Lowest common denominator (6, 10) = 30

Hence: (5 x 5) + (5 x 3) / 30

= 25 + 15 / 30

= 40/30

= 4/3

= 1 1/3

e) 7/8 - 2/3

We find the Lowest common denominator (3, 8) = 24

Hence: (7 x 3) - (2 x 8) / 24

= 21 - 16 / 24

= 5/24

f) 8/10 + 5/6

We find the Lowest common denominator (6, 10) = 30

Hence: (8 x 3) + (5 x 5)

= 24 + 25 / 30

= 49/30

= 1 19/30

g) 9/11 - 2/3

We find the Lowest common denominator (3, 11) = 33

Hence: (9 x 3) - (11 x 2) / 33

= 27 - 22 / 33

= 5/33

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Nick has a bag of marbles. Without looking in the bag, he
selects a marble, records its color, and puts it back in the
bag. All marbles are equally likely to be chosen. He
performs 100 trials.
Number of times a white marble was chosen
48
Number of times a red marble was chosen
13
Number of times a green marble was chosen 27
Number of times a blue marble was chosen
Based on the data Nick collected, what is the estimated probability, in
simplest form, of choosing a white marble from the bag? please help me ​

Answers

Answer:

Step-by-step explanation:

Ok wait. Try add

Answer:

12/25

Step-by-step explanation:

17) Find DE 3x - 28 3x – 30 G E F 33​

Answers

The numerical length of DE is 11.

We have a Line Segment DG such that E and F is between D and G.

We have to determine the length of DE.

What is Line Segment?

A line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.

According to question, we have -

DE = 3x - 28

EF = 3x - 30

FG = x

DG = 33

Now -

DG = DE + EF + FG

33 = 3x - 28 + 3x - 30 + x

7x = 33 + 58

7x = 91

x = 13

Therefore -

DE = 3x - 28 = 3 x 13 - 28 = 39 - 28 = 11

Therefore -  DE = 11

Hence, the numerical length of DE is 11.

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The basic ratio of blue to red for paint is 4:7. How many quarts of blue paint should be mixed with 21 quarts of red paint to get purple?

Answers

If I’m not mistaken it should be 12 quarts of blue mixed with 21 red


Need help please not understanding

Answers

Answer:

The value of ∠4 is 45° .

Step-by-step explanation:

Given that , ∠4 = x + 30 ° & ∠2 = 2x + 15 .We need to find the measure of ∠4 . So from the figure we can see that , ∠2 & ∠4 are corresponding angles .So they will be equal.

⇒ ∠2 = ∠4 [ Corresponding angles ]

⇒ x + 30° = 2x + 15°

⇒ 2x - x = 30° - 15°

x = 15°

Hence the value of x is 15°

∠4 = x + 30°

⇒ ∠4 = 15° + 30°

⇒ ∠4 = 45°

Hence the value of 4 is 45° .
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