Concept explainers
(a)
To find: the slope and y-intercept of each linear function.
Slope
Given:
Calculation:
The slope intercept form of a line as
Where the slope of the line is
And
So on comparing the function
Slope
Conclusion:
Therefore, the slope
(b)
To find:the average rate of change of each function
The rate of change is -4
Calculation:
For calculating average rate of change of given function, it is needed two points for it. Y intercept is one point (0.7) and
For second point
Let
So second point in
Now as rate of change
Here
So rate of change
Conclusion:
Therefore, the rate of change =-4
(c)
To graph: the given function.
Calculation:
The line joining two points (0,7) and (1,3) is shown as below where (1.75,0) is x intercept.
Conclusion:
Thus, the given function is drawn.
(d)
To determine:whether the function is increasing decreasing or constant.
Thus function is decreasing in the interval
Calculation:
As the slope of the given function is -4 that is negative, that means it is decreasing function as if slope is negative that means this line makes a obtuse angle with positive side of
Conclusion:
Thus function is decreasing in the interval
Chapter 3 Solutions
Precalculus
Additional Math Textbook Solutions
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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