Consider the graph of the function f(x)=2x. Which statement describes a key feature of
function g if g(x) = 2f(x)? Answers:
A. y-intercept at (0,2)
B. y-intercept at (2,0)
C. horizontal asymptote of y = -2
D. horizontal asymptote of y = 2

Given:

The parent function is:

The other function is:

To find:

The statement that describes a key feature of function g.

Solution:

We have,

Using these two functions, we get

Putting , we get

The y-intercept of the function g at (0,2). So, option A is correct and option B is incorrect.

We know that as and it will never intersect the line . It means the horizontal asymptote of the function g is

Therefore, the correct option is A.

addition

step-by-step explanation: