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 - intercepts

The x - intercepts are the points where the graph crosses the x - axis (y = 0). Looking at the graph, the curve crosses the x - axis at x=-12 and x = 0. So the x - intercepts are x=-12,0.

Step2: Find y - intercept

The y - intercept is the point where the graph crosses the y - axis (x = 0). From the graph, when x = 0, y = 4. So the y - intercept is y = 4.

Step3: Determine where the function is positive

The function is positive when y>0. Looking at the graph, the part of the curve above the x - axis (y>0) is for - 12<x<0.

Step4: Determine where the function is negative

The function is negative when y<0. From the graph, the parts of the curve below the x - axis (y < 0) are for x<-12 and x>0.

Answer:

x - intercepts: x=-12,0
y - intercept: y = 4
Positive: - 12<x<0
Negative: x<-12 and x>0