Question

Find the range of the function with the given domain.

f(x)=4x−2


Domain: {-2, -1, 0, 1, 2}

What is the range? Choose the correct answer below.

(1 point)
Responses

{6, 2, 2, 6, 10}
{6, 2, 2, 6, 10}

{-10, -6, -2, 2, 6}
{-10, -6, -2, 2, 6}

{-10, -6, -2, -2, 6}
{-10, -6, -2, -2, 6}

{-2, -1, 0, 1, 2}

Answer 1

To find the range of the function \( f(x) = 4x - 2 \) given the domain \( \{-2, -1, 0, 1, 2\} \), we will evaluate \( f(x) \) at each of the values in the domain.

1. For \( x = -2 \):
\[
f(-2) = 4(-2) - 2 = -8 - 2 = -10
\]

2. For \( x = -1 \):
\[
f(-1) = 4(-1) - 2 = -4 - 2 = -6
\]

3. For \( x = 0 \):
\[
f(0) = 4(0) - 2 = 0 - 2 = -2
\]

4. For \( x = 1 \):
\[
f(1) = 4(1) - 2 = 4 - 2 = 2
\]

5. For \( x = 2 \):
\[
f(2) = 4(2) - 2 = 8 - 2 = 6
\]

Now, we can compile the outputs:
- From \( x = -2 \) we get \( -10 \)
- From \( x = -1 \) we get \( -6 \)
- From \( x = 0 \) we get \( -2 \)
- From \( x = 1 \) we get \( 2 \)
- From \( x = 2 \) we get \( 6 \)

Putting these values together, the resulting outputs are:
\(-10, -6, -2, 2, 6\).

Thus, the range of the function over the specified domain is:

\[
\{-10, -6, -2, 2, 6\}
\]

From the options given, the correct one is:

**{-10, -6, -2, 2, 6}**