(a)
To sketch a graph of each function forc = -3, -1, 1 and 3.
(a)
Explanation of Solution
Given information: For each function sketch a graph on the same set of coordinate axes.
Graph:
Interpretation: We have modulus graph:-
Values of c | Function |
-3 | |
-1 | |
1 | |
3 |
CaseI.
The Vertical Shift in the graph,
So, the graph of function
CaseII.
The Vertical Shift in the graph,
So, the graph is drawn downward by one unit.
Case III.
The Vertical Shift in the graph,
So , the graph with function
CaseIV.
The Vertical Shift in the graph,
So, the graph with function
(b)
To show the shifts in graph with c = -3,-1, 1 and 3.
(b)
Explanation of Solution
Given information: For each function sketch a graph on the same set of coordinate axes.
Graph:
Interpretation: We have modulus graph:-
Values of c | Function |
-3 | |
-1 | |
1 | |
3 |
CaseI.
The HorizontalShift in the graph,
So, the graph with function
CaseII.
The Horizontal Shift in the graph,
So, the graph of function
Case III.
The Horizontal Shift in the graph,
So , the graph with function
Case IV.
The Horizontal Shift in the graph,
So , the graph with function
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS
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