Questions: Determine whether the given function is linear or nonlinear. If it is linear, determine the slope.
x y=f(x)
-2 -8
-1 -3
0 0
1 1
2 -1
Is the function a linear function?
Yes
No
Select the correct choice below and fill in any answer boxes within your choice.
A. The slope of the function is
B. The function is not linear.
Transcript text: Determine whether the given function is linear or nonlinear. If it is linear, determine the slope.
$x$ & $y=f(x)$
-2 & -8
-1 & -3
0 & 0
1 & 1
2 & -1
Is the function a linear function?
Yes
No
Select the correct choice below and fill in any answer boxes within your choice.
A. The slope of the function is $\square$
B. The function is not linear.
Solution
Solution Steps
Step 1: Check Linearity
To determine if the function is linear, we calculate the slope for each pair of consecutive points.
The calculated slopes between each consecutive pair of points are not constant, indicating the function is nonlinear.
Final Answer:
The function represented by the given set of points is nonlinear and thus, a slope cannot be determined.