Question

​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

Answer 1

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

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
`f(x)=2^(4x)`

Substitute x=0 in above function.

`f(x)=2^(4* 0)`

`f(x)=2^(0)`

`f(x)=1`

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) .