Question

partially correct (b): your answer is incorrect. use the graph of the function y = f(x) below to answer the questions. (a) is f(-2) negative? yes no (b) for which value(s) of x is f(x)>0? write your answer using interval notation. (-3,0 (c) for which value(s) of x is f(x)=0? if there is more than one value, separate them with commas. -3 try again

Explanation:

Step1: Locate x = - 2 on graph

Find the point on the x - axis at x=-2 and then see the corresponding y - value.

Step2: Determine sign of y - value

The y - value at x = - 2 is above the x - axis, so f(-2)>0.

Step3: Find x for f(x)>0

Look for the parts of the graph above the x - axis. The graph is above the x - axis for - 3<x<0 and 3<x<5. In interval notation, this is (-3,0)\cup(3,5).

Step4: Find x for f(x)=0

Find the x - values where the graph intersects the x - axis. The graph intersects the x - axis at x=-3 and x = 3.

Answer:

(a) No
(b) (-3,0)\cup(3,5)
(c) -3,3