Mathematics: 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).

(2rad2, 135) is the polar equivalent...

Consider the function ƒ(x) = –2x – 7 and the function

bryanmcmillianjr

10.08.2021

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

Step-by-step 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)

$m=\frac{dy}{dx}=-2$

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

Using the formula

Slope of g(x)

$m'=\frac{4-0}{0-1.2}$

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.

0,0(0 оценок)