Question

Below are two different functions, f(x) and g(x). What can be determined about their slopes?

f(x)= 3x − 3

The function f(x) has a larger slope.

The function g(x) has a larger slope.

They both have the same slope.

The relationship between slopes cannot be determined.

Answer 1

They have the same slope. The slope of f(x) is 3 because it is the m in f(x)=mx+b. In the graph of g(x), the slope can be found by change in y divided by change in x, or rise over run. Between x=0 and x=1, the y value increases by three, from 2 to 5. The slope of g(x) is 3/1=1.

Answer 2

I believe the correct answer from the choices listed above is the third option. From the given f(x) and g(x), we can say that both of the functions has the same slope which is three.

Hope this answers the question. Have a nice day.