Question

Use the image to answer the question.

A line is graphed on a coordinate plane.

Use an input-output table to determine whether the graph accurately displays the function f(x)=2x+12
using the inputs of −20
, −10
, 0, 10, and 20.

Enter 1 if the graph is accurate.

Enter 2 if the graph is not accurate.

(1 point)
Remaining Attempts : 3
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page 14 of 15

Answer 1

To determine whether the graph accurately displays the function \( f(x) = 2x + 12 \), we can calculate the output for each input value given in the table using the function.

- For \( x = -20 \):
\[
f(-20) = 2(-20) + 12 = -40 + 12 = -28
\]

- For \( x = -10 \):
\[
f(-10) = 2(-10) + 12 = -20 + 12 = -8
\]

- For \( x = 0 \):
\[
f(0) = 2(0) + 12 = 0 + 12 = 12
\]

- For \( x = 10 \):
\[
f(10) = 2(10) + 12 = 20 + 12 = 32
\]

- For \( x = 20 \):
\[
f(20) = 2(20) + 12 = 40 + 12 = 52
\]

Now we have the input-output pairs:

- \( (-20, -28) \)
- \( (-10, -8) \)
- \( (0, 12) \)
- \( (10, 32) \)
- \( (20, 52) \)

Next, we would compare these output values with the corresponding points plotted on the graph to check for accuracy. However, since I do not have access to the image to verify whether the graph matches these calculated outputs, I cannot definitively say if the graph is accurate.

If the graph represents the values we calculated, enter **1**. If it does not, enter **2**. Please check the graph against the output values listed above to decide.