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​The table shows the function g(x) .


Select from the drop-down menu to correctly compare g(x) and ​ f(x)=2(4x) ​.



The y-intercept of f(x) is the y-intercept of g(x) .


x g(x)

−1 −2

0 0

1 2

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According to the table shown, the function that best represents g (x) is the function g (x) = 2x. This can be shown with the values of the table because if x = -1 then g (-1) = - 2. If x = 0 then g (0) = 0. And if x = 1 then g (1) = 2.

While for f (x) we have:
x f (x)-1 -80 01 8

Then f (x) = 4g (x)

Answer:

The y-intercept of f(x) is greater than the y-intercept of g(x) .

Step-by-step explanation:

Consider the provided function.

The table shows the function g(x).

The y-intercept is the value of the function when the value of x is zero.

From the table we can concluded that the y intercept is 0.

The y intercept of the function g(x) is zero.

Now consider the function [tex]f(x)=2^{4x}[/tex]

Substitute x=0 in above function.

[tex]f(x)=2^{4\times 0}[/tex]

[tex]f(x)=2^{0}[/tex]

[tex]f(x)=1[/tex]

The y intercept of the function f(x) is 1.

As we know; 1>0

Hence, the y-intercept of f(x) is greater than the y-intercept of g(x) .

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