Question

use the graph of the function f shown to the right to answer parts (a)-(n).

(a) find \\(f(-28)\\) and \\(f(-8)\\).
\\(f(-28) = -6\\)
\\(f(-8) = 6\\)

(b) find \\(f(24)\\) and \\(f(0)\\).
\\(f(24) = 6\\)
\\(f(0) = -3\\)

(c) is \\(f(8)\\) positive or negative?
negative
positive

(d) is \\(f(-8)\\) positive or negative?
negative
positive

(e) for what value(s) of x is \\(f(x) = 0\\)?
\\(x = \\)
(use a comma to separate answers as needed.)

Explanation:

Identify points where the graph crosses the x-axis

$$ f(x) = 0 \implies y = 0 $$

Read the x-intercepts from the given graph

$$ (-24, 0), \quad (-4, 0), \quad (16, 0) $$

List the corresponding x-values

$$ x = -24, -4, 16 $$

Answer:

For what value(s) of x is \(f(x) = 0\)?

\(x =\) <blank>\(-24, -4, 16\)</blank>