To sketch: the graph of the function
Given:
The function
Graph:
Identify the zeroes of the function
Observe that the zeroes of the function
Substitute
Solve the equation
Thus, the zeroes of the function
Plot the zeroes
on a coordinate grid:
Determine whether
Observe that the intervals determined by the zeroes
To determine whether
That is, substitute
Observe that
Thus,
Similarly, it may be observed that
That is,
Sketch the graph of the function
Verify the sketch with the help of a graphing calculator:
Graph the function
with the help of a graphing calculator on a similar grid:
Observe that the graph so obtained looks exactly like the one sketched previously.
Thus, it is verified that the sketch is correct.
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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