Question

The functions f(x) and g(x) are shown.

First, choose the point(s) where f(x) = 2. Then, choose the point(s) where g(x) = 0. Last, choose the point(s) where f(x) > g(x).

Please help answer. Thank You!

Answer 1

Answer and question

The point(s) where f(x) = 2 are located where f(x) intersects the line y = 2. The points on the graph where f(x) = 2 are (-3, 2) and (-7, 2).

The point(s) where g(x) = 0 is the x-intercept of g(x). The point on the graph where g(x) = 0 is located at (3, 0).

The point(s) where f(x) > g(x) are located where the graph of f(x) is above the graph of g(x). The point on the graph where the graph off(x) is above the graph of g(x) is (-8, 0).

Answer 2

The function f(x) takes on the value 2 when x = -7 and x = -3, and thus the corresponding points are (-7,2) and (-3,2).

The points where g(x) = 0 are called "roots" or "solutions," and is (3,0).

f(x) > g(x) on the approx. interval (-9, -3/4).