Question

PLEASE NEED HELP ASAP!

The function g(x) is shown on the table. Suppose f(x) = −2x + 5. Which statement is true when comparing the two functions?
A) f(x) is an increasing function, and g(x) is a decreasing function.
B) g(x) is an increasing function, and f(x) is a decreasing function.
C) Both functions are increasing.
D) Both functions are decreasing.

Answer 1

Option B) g(x) is an increasing function, and f(x) is a decreasing function.

Explanation:

1) we have

`f(x)=-2x+5`

This is a linear function

The unit rate or slope is negative

That means ----> Is a decreasing function

2) we have

g(x)

Looking at the table we notice that

The function g(x) is a increasing function, because the y-value increases as the x-value increases

therefore

g(x) is an increasing function, and f(x) is a decreasing function