Question

Consider the function ƒ(x) = –2x – 7 and the function g(x), which is graphed above. Select the correct statement from the options that follow.

a) The function g(x) has a steeper slope than ƒ(x).
b) There isn't enough information to determine which function has a steeper slope.
c) The functions ƒ(x) and g(x) have the same slope.
d) The function ƒ(x) has a steeper slope than g(x).

Answer 1

It's not D its A I Just took the test.

Explanation:

Good luck!

Answer 2

d) The function ƒ(x) has a steeper slope than g(x)

Explanation:

We are given that

`f(x)=-2x-7`

The graph g(x) passing through the point (1.2,0) and (0,4).

Let

y=f(x)=-2x-7

Slope of function f(x)

`m=(dy)/(dx)=-2`

Slope formula

`m=(y_2-y_1)/(x_2-x_1)`

Using the formula

Slope of g(x)

`m'=(4-0)/(0-1.2)`

`m'=-3.33`

Slope of g(x)=-3.33<-2

Slope of f(x) is greater than slope of g(x).

Therefore, function f(x) has a steeper slope than g(x).

Option d) is correct.