5-4 Analyzing Graphs Of Polynomial Functions Worksheet With Answers Page 13
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235-4 Analyzing Graphs of Polynomial Functions
From the graph, the relative maxima is at x = –1.87 and relative minima is at x = 1. 52.
Sketch the graph of polynomial functions with the following characteristics.
28. an even function with zeros at –2, 1, 3, and 5
SOLUTION:
An even-degree function has an even number of real zeros and the end behavior is in the same direction. So draw a
graph that crosses the x-axis at -2, 1, 3, and 5.
30. a 5-degree function with zeros at –4, –1, and 3, maximum at x = –2
SOLUTION:
A 5-degree function has 5 zeros and end behavior in opposite directions. Draw a graph with zeros at –4, –1, and 3,
and a maximum at x = –2.
32. an even function with a minimum at x = 3 and a positive leading coefficient
SOLUTION:
An even function with a a positive leading coefficient has end behavior in the same direction. Draw a graph with a
minimum at x = 3 with an even number of zeros.
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Page 13
Complete each of the following.
a. Estimate the x-coordinate of every turning point and determine if those coordinates are relative
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