Question

given the function f described by \\(f(x) = 12x\\), find each of the following.

(a) \\(f(-9)\\)
(b) \\(f(14)\\)
(c) \\(f(34)\\)

\\(f(-9) = \\)
\\(f(14) = \\)
\\(f(34) = \\)

Explanation:

Identify the given function

We are given the linear function:

$$f(x) = 12x$$

Our goal is to evaluate this function at three different input values: \(x = -9\), \(x = 14\), and \(x = 34\).

Evaluate the function at x = -9

Using the Function Evaluation knowledge point:

$$
LATEXBLOCK0
$$

Evaluate the function at x = 14

Using the Function Evaluation knowledge point:

$$
LATEXBLOCK1
$$

Evaluate the function at x = 34

Using the Function Evaluation knowledge point:

$$
LATEXBLOCK2
$$

Answer:

Question 1

Given the function \(f(x) = 12x\), find \(f(-9)\).
\(f(-9) =\) <blank>-108</blank>

Question 2

Given the function \(f(x) = 12x\), find \(f(14)\).
\(f(14) =\) <blank>168</blank>

Question 3

Given the function \(f(x) = 12x\), find \(f(34)\).
\(f(34) =\) <blank>408</blank>