Factoring; Funcions

Question

The figure below shows a graph of the function f(x) in the coordinate plane. A second function, g, is defined by g(x) = -3x + 2.

a) Graph g(x) on the same coordinate plane with f(x).

b) How does f(2) compare to g(2)? (Hint: less than, greater than, or equal to)

c) How does f(-2) compare to g(-2)?

Please explain step by step. And what should the graph look like?

Answer 1

Hopefully you know how to graph the given function.

f(2) is the y-value when x = 2. Graph your line. Go to where x = 2, and see what your y-values are for both functions.

On your already drawn function, f(2) = 8. Can you see that?

Do the same for g(2) and compare. Are they in the same place, or is g(2) less than 8 or greater than 8? Do the same for the rest.

You got this!