
Concept explainers
To explain: Why the given equation is not an identity and find one value of the variable for which the equation is not true.

Explanation of Solution
Given information:
The following equation:
The given equation is not an identity because it is not true for all values of
Let
Substituting value of
Substituting value of
The value on the left hand side is not equal to the value on the right hand side.
Hence for
Also, the given equation is not an identity because the expressions on the left hand side and the right hand side when plotted on a graph, do not coincide.
Graph:
Sketch the graph using graphing utility.
Step 1: Press WINDOW button to access the Window editor.
Step 2: Press
Step 3: Enter the expressions
Step 4: Press GRAPH button to graph the function.
The graph is obtained as:
Interpretation:
The graphs of the left hand side expression and the right hand side expression do no coincide.
Chapter 5 Solutions
Precalculus with Limits: A Graphing Approach
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