Question

How does the slope of g(x) compare to the slope of f(x)?

The slope of g(x) is the opposite of the slope of f(x).
The slope of g(x) is less than the slope of f(x).
The slope of g(x) is greater than the slope of f(x).
The slope of g(x) is equal to the slope of f(x).

Answer 1

B

Explanation:

Edge 2020

Hope that helps

Answer 2

The answer is 'The slope of g(x) is less than the slope of f(x)'

Explanation:

Given the graphs of f(x) and g(x). we have to compare the slops of these two.

The graph of f(x) passes through the points (1,0) and (2,2)

∴
`\text{The slope of f(x)=}(y_2-y_1)/(x_2-x_1)=(2-0)/(2-1)=2`

The graph of g(x) passes through the points (0,2) and (2,3)

∴
`\text{The slope of g(x)=}(y_2-y_1)/(x_2-x_1)=(3-2)/(2-0)=(1)/(2)`

As
`(1)/(2)<2`

This shows that the

The slope of g(x) is less than the slope of f(x).