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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Answer 1

To determine whether the graph accurately displays the function \( f(x) = 2x + 12 \), we can create an input-output table using the given inputs of \(-20\), \(-10\), \(0\), \(10\), and \(20\). We will then compute the output for each input.

### Input-Output Table:
- 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 \( x = 20 \):
\[
f(20) = 2(20) + 12 = 40 + 12 = 52
\]

### Resulting Input-Output Table:
| \( x \) | \( f(x) \) |
|----------|-------------|
| \(-20\) | \(-28\) |
| \(-10\) | \(-8\) |
| \(0\) | \(12\) |
| \(10\) | \(32\) |
| \(20\) | \(52\) |

### Conclusion:
You would need to check the graph to see if it correctly matches these output values for the corresponding x-values.

- If the graph matches all the output values from the table, you would enter **1** for accurate.
- If there is any discrepancy in the output values, you would enter **2** for not accurate.

If you have access to the graph, compare the points to see if it correctly represents the function.