Question

use the graph of the function f shown to answer parts (a)-(n).
(a) f(-14) = -2, f(-6) = 3
(b) find f(12) and f(0). f(12) = 2, f(0) = -1
(c) is f(4) positive or negative? positive / negative (selected: negative)
(d) is f(-4) positive or negative? positive / negative (selected: negative)
(e) for what value(s) of x is f(x) = 0? x = 3 (use a comma to separate answers as needed.)
(graph shows points: (-14, -2), (-12, 0), (-6, 3), (-4, 2), (-2, 0), (0, -1), (4, -2), (8, 0), (12, 2))

Explanation:

Step1: Analyze the graph for x=-4

We look at the graph of the function \( f(x) \). For \( x = - 4 \), we find the corresponding point on the graph. The point is \( (-4,2) \), so \( f(-4)=2 \).

Step2: Determine the sign of f(-4)

Since \( f(-4) = 2 \) and \( 2>0 \), the value of \( f(-4) \) is positive.

Answer:

Positive