Concept explainers
To graph the function and find the domain and range.
Explanation of Solution
Given:
Function:
Calculation for graph:
Consider,
Here, substitute different values for x.
For x > − 2, the function is f ( x ) = − 3x − 2
Values of x | Values of f (x) |
0 | -2 |
1 | -5 |
-1 | 1 |
2 | -8 |
-2 | 4 |
By taking different values of x , the graph can be plotted.
For
Values of x | Values of f (x) |
0 | 1 |
1 | 0 |
-1 | 2 |
2 | -1 |
-2 | 3 |
By taking different values of x , the graph can be plotted.
Graph:
Interpretation:
Domain of a function is where the function is defined on a graph.
From the graph,
The function is defined at all the points. Therefore, the domain of the graph is
Also, the range is the set of all values that a function passes through. It is the coordinate pair.
From the graph,
Therefore, the range of the function is
Chapter 3 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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