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).

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

Step-by-step explanation:

We are given that

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)

Slope formula

Using the formula

Slope of g(x)

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.

a

b

d

step-by-step explanation: