Need help with this math problem ASAP. Look at the picture attached. The linear function f(x) passes through the points (0,3) and (2,7). A few values from the exponential function g(x) are shown in the table. What is the positive difference in the y-intercept value of f(x) and g(x)?​

Need Help With This Math Problem ASAP. Look At The Picture Attached. The Linear Function F(x) Passes

Answers

Answer 1

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[tex]f(x) = 2x + 3[/tex]

And

[tex]g(x) = 2 \times {3}^{x} \\ [/tex]

_________________________________

To find the y-intercept of any equation just need to put 0 (( zero )) instead of the x in the equation...

Let's do it....

_________________________________

In f ( x ) :

[tex]y - intercept = f(0)[/tex]

[tex]f(x) = 2x + 3[/tex]

[tex]f(0) = 2(0) + 3[/tex]

[tex]f(0) = 3[/tex]

Thus :

[tex]y - intercept = 3[/tex]

##############################

In g ( x ) :

[tex]y - intercept = g(0)[/tex]

[tex]g(x) = 2 \times {3}^{x} [/tex]

[tex]g(0) = 2 \times {3}^{0} [/tex]

[tex]g(0) = 2 \times 1[/tex]

[tex]g(0) = 2[/tex]

Thus :

[tex]y - intercept = 2[/tex]

_________________________________

The positive difference in the y-intercept value of f ( x ) and g ( x ) is :

[tex] |3 - 2| = |1| = 1[/tex]

So write this in the box : 1

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And we're done....

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️


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