Question

Find the range of the function with the given domain.
f(x) = 2x - 7 Domain: {-2, - 1, 0, 1, 2}
What is the range? Choose the correct answer below.
(1 point)
• 1-11, -9, -7, -5, -3}
• {-11, -8, -8, -4, -3}
• {-11, -8, -7, -4, -3}
• {-12, -9, -7, -5, -2}

Answer 1

To find the range of the function \( f(x) = 2x - 7 \) given the domain \( \{-2, -1, 0, 1, 2\} \), we need to calculate \( f(x) \) for each value in the domain.

1. For \( x = -2 \):
\[
f(-2) = 2(-2) - 7 = -4 - 7 = -11
\]

2. For \( x = -1 \):
\[
f(-1) = 2(-1) - 7 = -2 - 7 = -9
\]

3. For \( x = 0 \):
\[
f(0) = 2(0) - 7 = 0 - 7 = -7
\]

4. For \( x = 1 \):
\[
f(1) = 2(1) - 7 = 2 - 7 = -5
\]

5. For \( x = 2 \):
\[
f(2) = 2(2) - 7 = 4 - 7 = -3
\]

Now, we compile the outputs into a range set:
\[
\text{Range} = \{-11, -9, -7, -5, -3\}
\]

From the provided options, the correct answer is:
**{-11, -9, -7, -5, -3}**