Question

Use the image to answer the question.

A curved line is graphed on a coordinate plane. The x-axis ranges from negative 5 to 5 in increments of 1. The y-axis ranges from negative 200 to 200 in increments of 100.

Use an input-output table to determine whether the graph accurately displays the function f(x)=4x3−x
using the inputs of −3
, −2
, −1
, 0, and 1.

Enter 1 if the graph is accurate.

Enter 2 if the graph is not accurate.

(1 point)

Answer 1

Compute f(x) = 4x^3 − x for the given inputs:

- f(-3) = 4(-27) − (−3) = −108 + 3 = −105
- f(-2) = 4(−8) − (−2) = −32 + 2 = −30
- f(-1) = 4(−1) − (−1) = −4 + 1 = −3
- f(0) = 0
- f(1) = 4(1) − 1 = 3

These are the points (−3,−105), (−2,−30), (−1,−3), (0,0), (1,3). The graph matches these outputs, so the graph is accurate.

Answer: 1