Concept explainers
a.
Complete the table
a.
Explanation of Solution
Given:
Calculation:
x | [x] | f(x)=|[x]| | |x| | g(x)=[|x|] |
-3 | -3 | 3 | 3 | 3 |
-2.5 | -3 | 3 | 2.5 | 2 |
-2 | -2 | 2 | 2 | 2 |
0 | 0 | 0 | 0 | 0 |
0.5 | 0 | 0 | 0.5 | 0 |
1 | 1 | 1 | 1 | 1 |
1.5 | 1 | 1 | 1.5 | 1 |
b.
Graph the functions
b.
Explanation of Solution
Given:
Graph:
The graph of f(x) is given by
The graph of g(x) is given by
c.
Compare the graphs
c.
Explanation of Solution
Given:
Proof:
We can see that the graph of g(x) is symmetrical about the y-axis, but it is not so in case of f(x).
Further, it can be observed that the both the functions have same graphs for positives values of x.
When x is negative the outputs of f(x) are one step greater than that of g(x).
Chapter 3 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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