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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
Step1: Locate x = -2 on graph
Find the point on the graph where x=-2.
Step2: Determine sign of f(-2)
The y - value (i.e., f(-2)) at x = -2 is above the x - axis, so it is positive. So the answer to (a) is No.
Step3: Find x - values for f(x)>0
We look for the parts of the graph above the x - axis. The graph is above the x - axis for - 3<x<2. In interval notation, the solution to (b) is (-3,2).
Step4: Find x - values for f(x)=0
We look for the points where the graph intersects the x - axis. The graph intersects the x - axis at x=-3 and x = 2. So the solution to (c) is -3,2.
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(a) No
(b) (-3,2)
(c) -3,2