Question

partially correct
your answer is incorrect.
use the graph of the function y = f(x) below to answer the questions.
(a) is f(4) negative?
yes no
(b) for which value(s) of x is f(x)=0?
if there is more than one value, separate them with commas.
-4,2
(c) for which value(s) of x is f(x)<0?
write your answer using interval notation.
(-4,2)

Explanation:

Step1: Locate x = 4 on graph

Find the point on the x - axis where x = 4 and then see the corresponding y - value.

Step2: Determine sign of y - value

The y - value at x = 4 is above the x - axis, so f(4)>0.

Step3: Find x for f(x)=0

Look for the x - values where the graph intersects the x - axis. The graph intersects at x=-4 and x = 2.

Step4: Find x for f(x)<0

Identify the x - intervals where the graph is below the x - axis. The graph is below the x - axis when - 4<x<2, which in interval notation is (-4,2).

Answer:

(a) No
(b) - 4,2
(c) (-4,2)