
Concept explainers
(a)
To graph: For the given function.
(a)

Explanation of Solution
Given information:
The given equation is
Graph:
Using MAPLE to graph the given function using the ranges as shown
Figure (1)
Interpretation: Graph for the function
The number of zeroes is the number of intersection made on x- axis. From the above graph the number of intersection made is two
Therefore, the number of zeroes is 2 And the zeroes are
Figure 2
Therefore, the x-intercept is -1 and 0, and the y-intercept is 0
The value of
Therefore the turning points are made on
(b)
To find: The axis of symmetry.
(b)

Answer to Problem 44PPS
There is no line of symmetry.
Explanation of Solution
Given information:
The given equation is
Calculation:
Line symmetry is the line which divides the given graph into equal halves
Therefore, clearly from the above graph, the function does not have an axis of symmetry because the graph is not a parabola.
Therefore, there is no line of symmetry.
(c)
To find: The intervals for which it is increasing, decreasing, or constant.
(c)

Answer to Problem 44PPS
The graph is increasing in the interval and decreasing in
Explanation of Solution
Given information:
The given equation is
Calculation:
The curve is increasing when the curve going upwards and is decreasing when he curve is going downwards.
Therefore, the graph is increasing in the interval
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