Concept explainers
(a)
To find: the slope and y-intercept of the given linear function.
(a)
Answer to Problem 3RE
Slope
Explanation of Solution
Given:
Calculation:
The slope intercept form of a line is
Where the slope of the line is
And
Compare the function
Slope
Conclusion:
Therefore, the slope
(b)
To find: the average rate of change of the given function
(b)
Answer to Problem 3RE
The rate of change
Explanation of Solution
Given:
The linear function
For calculating average rate of change to given function, it is needed two points
Let
So second point in
Now as rate of change
Here
So rate of change
Conclusion:
Therefore, the rate of change
(c)
To graph: the given function.
(c)
Answer to Problem 3RE
Explanation of Solution
Calculation:
The line joining two points (0,-6) and (5,-2) is shown as below where (7.5,0) is x intercept.
Conclusion:
Thus, the given function is drawn.
(d)
whether the function is increasing decreasing or constant.
(d)
Answer to Problem 3RE
Thus function is increasing in the interval
Explanation of Solution
Calculation:
As the slope of the function
That means it is increasing function.
Thus function is increasing in the interval
Conclusion:
Thus function is increasing in the interval
Chapter 3 Solutions
Precalculus
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