Question

An exponential function f(x) is reflected across the y-axis to create function g(x). Which is a true statement regarding f(x) and g(x)? The two functions have no points in common. The two functions have the same initial value. The two function have opposite output values of each other for any given input value. The graph of the two functions would look exactly the same.

Answer 1

b

Explanation:

Answer 2

We are given

An exponential function f(x) is reflected across the y-axis to create function g(x)

we know that whenever we have to reflect any function about y-axis , we will always replace x as -x

so, we reflect f(x) about y-axis

so, we can replace x as -x

we get new function as

f(-x)

and that is g(x)

so, we get

g(x)=f(-x)

Initial value means value of function at x=0

so, we will plug x=0

we get

g(0)=f(-0)

g(0)=f(0)

we can see that both f(x) and g(x) have same initial value

so,

The two functions have the same initial value............Answer