Question

How does the slope of g(x) compare to the slope of f(x)? f(x) g(x) O The slope of g(x) is the opposite of the slope of f(x). O 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). O The slope of g(x) is equal to the slope of f(x). 43_-2-14 5 X -2 ​

Answer 1

Answer: Tell me if i am wrong

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)

∴ The slope of
`f(x) = (y2-y1)/(x2-x1)=(2-0)/(2-1) = 2`

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

∴ The slope of
`g(x)=(y2-y1)/(x2-x1) =(3-0)/(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).