College

Functions Unit Quiz

Which is equal to [tex]$f(-2)$[/tex]?

Given: [tex]$f(x) = -2(x - 14)$[/tex]

A. [tex]40[/tex]
B. [tex]10[/tex]
C. [tex]-32[/tex]
D. [tex]24[/tex]
E. [tex]32[/tex]
F. [tex]-24[/tex]

Answer :

We need to evaluate the function
[tex]$$
f(x) = -2(x - 14)
$$[/tex]
at [tex]$x = -2$[/tex]. Follow these steps:

1. Substitute [tex]$x = -2$[/tex] into the function:

[tex]$$
f(-2) = -2((-2) - 14)
$$[/tex]

2. Simplify the expression inside the parentheses:

[tex]$$
(-2) - 14 = -16
$$[/tex]

3. Multiply by [tex]$-2$[/tex]:

[tex]$$
-2 \times (-16) = 32
$$[/tex]

Thus, the final answer is

[tex]$$
f(-2) = 32.
$$[/tex]

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