Question

What is the range of f ( x ) = 2x + 4, if the domain is { − 2, - 1, 0, 1 }?

Select one:

a.
{ - 1, - 2, 4, - 6 }


b.
{ 0, - 5, 4, - 3 }


c.
{ 0, 2, 4, 6 }


d.
{ 8, 6, 4, 4 }

Answer 1

Step-by-step explanation:To find the range of the function \( f(x) = 2x + 4 \) for the given domain \( \{-2, -1, 0, 1\} \), we need to evaluate the function for each value in the domain and see which values are obtained.

For \( x = -2 \):

\( f(-2) = 2(-2) + 4 = 0 \)

For \( x = -1 \):

\( f(-1) = 2(-1) + 4 = 2 \)

For \( x = 0 \):

\( f(0) = 2(0) + 4 = 4 \)

For \( x = 1 \):

\( f(1) = 2(1) + 4 = 6 \)

The range of the function \( f(x) = 2x + 4 \) for the given domain \( \{-2, -1, 0, 1\} \) is \( \{0, 2, 4, 6\} \).

So, the correct answer is:

c. \( \{0, 2, 4, 6\} \)