
Concept explainers
In Problems 21-28, determine whether the given function is linear or nonlinear. If it is linear, determine the equation of the line.


To calculate: Whether the given function is linear or non-linear. If it linear, then we have to determine the equation of the line.
Answer to Problem 25AYU
Solution:
The given function is non-linear.
Explanation of Solution
Given:
The given function is
Formula used:
A function is said to be linear, if it has a constant average rate of change otherwise the function is non-linear.
The formula for finding the average rate of change is
We know that the average rate of change of a linear function is the slope of that function.
Therefore, we can find the equation of the line using the point-slope formula.
Thus, we get
Calculation:
Now, we have to find the average rate of change.
The rate of change between the first and the second row is
The rate of change between the second and the third row is
Here, we can see that the rate of change of the given function differs.
Therefore, the average rate of change is not a constant.
Thus, the given function is non-linear.
Chapter 3 Solutions
Precalculus
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