Question

use the graph to estimate the x - and y - intercepts of the function and describe where the function is positive and negative. x - intercept(s): select choice y - intercept: select choice positive: select choice negative: select choice

Explanation:

Step1: Find x - intercept

The x - intercept is the point where the graph crosses the x - axis. Looking at the graph, the graph crosses the x - axis at x = 0 and x=- 2. So the x - intercepts are x = 0 and x=-2.

Step2: Find y - intercept

The y - intercept is the point where the graph crosses the y - axis. The graph crosses the y - axis at y = 0.

Step3: Determine where function is positive

The function is positive when y>0. From the graph, the function is positive for x < - 2 and x>0.

Step4: Determine where function is negative

The function is negative when y < 0. From the graph, the function is negative for - 2<x<0.

Answer:

x - intercept(s): x = 0, x=-2
y - intercept: y = 0
positive: x < - 2 or x>0
negative: - 2<x<0