How many turning points are in the graph of the polynomial function?
a.) 4 turning points
b.) 5 turning points
c.) 6 turning points
d.) 7 turning points
Answers
5 turning points are in the graph of the polynomial function.
What are Turning point in graph?Turning points occur when a graph shifts from rising to dropping (rising to falling) or from decreasing to increasing (falling to rising). A polynomial of degree n can turn at most once, or n1.
The point on a parabola where the graph shifts from increasing to decreasing, or from decreasing to increasing, is known as the turning point of a parabola and is also known as the vertex. We refer to a graph as growing when it is rising from left to right.
Turning points are places on a graph where the direction of the line switches from upward to downward.
And from below to above.
We can see that graph is changing its direction at 5 different points and the points are
(-5,6) ,(-3,-3) ,(0.5,0.5) ,(3,2.5) ,(5,5)
Thus, there are 5 turning points.
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Related Questions
Solve the following quadratic equation for all values of x in simplest form.
4(2x-3)^2 + 14 = 34
Answers
Answer:
x=3±√5/2
Step-by-step explanation:
what is 5/9 x 2/5 x 7/2 A 7/45 B 14/45 C 7/9 D 7/8
Answers
hope this helps you out .
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In Algebra, we learn about many types of functions. These functions vary from simple to
complex. Think about the different types of functions we've explored so far (linear,
quadratic, and exponential). What features do they share, and how are they unique?
Answers
Answer:
they share some features like;exponents,
mathematical signs, variables and more
The shared feature is that the 3 are functions relating y and x, and the uniqueness is on the exponent (or degree for the first two cases).
What the functions have in common?A linear function is:
y = a*x + b
A quadratic function is:
y = a*x^2 + b*x + c
An exponential function is:
y = A*(b)^x
So, the thing that we can see that the functions have in common is that in all of them, the variable y depends on the variable x.
How these functions are different?Well, the exponents are clearly different.
The linear function is of degree 1, the quadratic function is of degree 2, and in the exponential function the variable is in the exponent (it is not a polynomial like in the first two cases).
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Equations
Yes
No
5a -1 = 14
true for a = 3
O ㅁ
100-b2= 80
true for b= 10
32 = 16
true for f = 2
Answers
Answer:
yes
No
yes
Step-by-step explanation:
I think it will help you
A map has a scale of 1.5 in : 26 mi. If the distance between city A and City
B on the map 15 inches find the real distance?
Answers
Answer:
The real distance is 260 miles
Step-by-step explanation:
From the question;
1.5 inches in map is 26 miles
Thus;
15 inches will be x miles
To get the value of x, we do a cross-multiplication
we have this as:
15 * 26 = 1.5 * x
x = (15 * 26)/1.5
x = 10 * 26 = 260 miles
please help thank you
Answers
Answer:
op.........bro.................................
−5x−4y=−8
Escreva uma fórmula para f(x) em função de x
Answers
Answer:
-5x-4y=-8
-5x=4y-8
x/-5=4y-8÷-5
what is 1 half times 2
Answers
Answer:
1
Step-by-step explanation:
1/2 x 2 = 1
2 and 2 cancel out, leaving 1/1
Hope that helps! :)
<3 Cin
Answer:
I got the answer one
Step-by-step explanation:
1/2 x 2
2 x 1 = 2 ÷ 2 = 1
Suppose the height of a triangle is tripled. How does this affect the area of the triangle? Explain
Answers
Answer:
A' = 3A
Step-by-step explanation:
The area of a triangle is given by :
[tex]A=\dfrac{1}{2}\times b\times h[/tex]
Where
b is base and h is height
If height is tripled, h' = 3h
New area,
[tex]A'=\dfrac{1}{2}\times b\times h'\\\\=\dfrac{1}{2}\times b\times 3h\\\\=3\times \dfrac{1}{2}\times b\times h\\\\=3A[/tex]
So, the new area becomes 3 times the initial area.
Find the gradient of the line passing through the points (4a, -a) and (6a, 5a)
Answers
Answer:
3
Step-by-step explanation:
Gradient is also called slope .
=> m = y₂ - y₁ / x₂ - x₁
=> m = 5a + a / 6a - 4a
=> m = 6a / 2a
=> m = 3
This solid shape is made from 5 cubes.
Answers
Answer:
what is the question?
Step-by-step explanation:
-0.3x2 + 2x + 3
What is this equation in a table ?
Answers
Answer:
Here
Step-by-step explanation:
Just pick numbers and substitute it into the equation for x
Pls help I will give branlist answer on the best one
Don’t explain it just strait up give me the answer for 1,2 and 3
Answers
Answer:
Step-by-step explanation:
1. 31,656
2. 32.3%
3. $5,516 roughly per month split evenly if you live paycheck to paycheck
Show all possible arrangements of the letters in the word FRED using a tree diagram. If each of the letters is on a tile and drawn at random , what is the probability that you will draw the letters F-R-E-D in that order?
Answers
Answer:
24
Step-by-step explanation:
F R E D
F R D E
F E R D
F E D R
F D E R
F D R E
so for each letter u have 6 so 4 x 6=24
In a group of 25 boys , 8 are in the Science League team and 13 in the math League team and 6 in both the teams. How many are not in any team?
Answers
first subtract 6 from 8 to get 2 (since it's easier) because those 6 girls are on the math league team as well
next add 2 and 13 to get 15
last subtract 15 from 25 to get 10
What is the range of fat grams for the five sandwiches?
A. 15
B. 16
O c. 21
D. 21.2
.
O E. 24
Answers
Given g(x)=3x+5g(x)=3x+5, find g(-6)g(−6).
Answers
Answer:
Step-by-step explanation:
hello :
g(x)=3x+5
g(−6).=3(-6) +5 = -18+5 = -13
What is the simplified value of the exponential expression 27^1/3?
1/3
1/9
3
9
Answers
Cubic root of 27 is 3
= 3
how much more area does a large pizza with a 12in. diameter have than a small pizza with a 8 in. diameter? Round your answer to the nearest square inch
answers:
a) 63 in²
b) 38 in²
c)13 in²
d)87 in²
Answers
Answer:
A is the correct answer.
Step-by-step explanation:
First do 6 times 6 and then do 36 times 3.14 to get 113.04.
Then do 4 times 4 to get 16 times 3.14 for 50.24
Last do 113 minus 50 for 63 squared.
What is the median of the data set? History Test Scores 5 0 8 6 5 6 8 9 7 0 3 5 8 8 0 6 7 7 7 9 0 1 3 5 6 8 9 9 5 0 = 50 points
Answers
Answer:
The median is 6
Step-by-step explanation:
for what value of x does the function have an output of -7, given that g(x) = -3x + 8
Answers
Answer:
X=5
Step-by-step explanation:
-3x+8=-7
-3x=-15
X=5
Please help, this is due soon
Answers
Answer:
21 miles
Step-by-step explanation:
Each 1/6 is equal to 1 mile because 5/6 is equal to 5 miles. 1/2 is 3/6 so 3 miles. 6/6 is 6 miles so 3 is 3*6. This means it is 18+3 or 21 miles.
Have a great day!
Write the equation of a line that passes through the point (0,5) and has a slope of 4/5
Answers
Answer:
[tex]m = \frac{4}{5} \\ from \: \: y = mx + c \\ at \: (0,5) \: \: \\ 5 = 0 \times \frac{4}{5} + c \\ c = 5 \\ equation \: is \: \: y = \frac{4}{5} x + 5[/tex]
can anyone help me with these homework pages please i need them asap, thanks
Answers
Answer:
1. reflection
2. translation
3. rotation
4. dilation (enlargement)
5. dilation (reduction)
6. rotation
7. reflection
What is the area of the triangle ?
Answers
Pythagorean theorem level 2 delta math
Answers
The third side is 4
So Pythagorean's theorem is the following
[tex]Short^2 + Long^2 = Hypotenuse^2[/tex]
From here we can input the following information that we know
[tex]Short^2 + \sqrt{33}^2 = 7^2\\Short^2 + 33 = 49\\Short^2 = 49 - 33\\Short^2 = 16\\Short = \sqrt{16}\\Short = 4[/tex]
Point c has the coordinate -7 and d has the coordinate 6 on a number line. What is the distance between c and d
Answers
Answer:
7
Step-by-step explanation:
Which word phrase represents the following expression: 6 - x?
A: the product of 6 and x
B: x take away 6
C: x less than 6
D: 6 less that x
Answers
Answer:
C. X less than 6
Step-by-step explanation:
The graph of a system of two linear equations results in two parallel lines.
How many solutions are there for the system?
Answers
Answer:
no solutions
Step-by-step explanation:
a "solution" for a system of linear equations is defined as the point(s) of intersection for the two lines.
Parallel lines never touch, so they can never can never intersect
therefore, there are no solutions
hope this helps!
Solve the ineqlality for y.
y - 4x < -7
Answers
Answer:
Step-by-step explanation:
So you want to isolate the y, so add 4x to both sides of the problem. So now we have y < -7 + 4x. Now since adding can go both ways (in its own equation) you can turn around the 7 and 4. So we have y < 4x -7