5-4 Analyzing Graphs Of Polynomial Functions Worksheet With Answers Page 14
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235-4 Analyzing Graphs of Polynomial Functions
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.
Complete each of the following.
a. Estimate the x-coordinate of every turning point and determine if those coordinates are relative
maxima or relative minima.
b. Estimate the x-coordinate of every zero.
c. Determine the smallest possible degree of the function.
d. Determine the domain and range of the function.
34.
SOLUTION:
a. Relative maxima: x = – 3.5 and x = –1; Relative minima: x = –2.5 and x = 2
b. The zeros are at: x = –1.75, –0.25 and 3.5.
c . Since the graph has 4 turning points, the smallest possible degree of the polynomial function is (4 + 1) or 5.
d . Domain: {all real numbers}; Range: {all real numbers};
36.
SOLUTION:
a. Relative maxima: x = – 2 and x = 2.5; Relative minima: x = 1
b. The zeros are at: x = –3.5, and x = – 0.5.
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Page 14
c . Since the graph has 3 turning points, the smallest possible degree of the polynomial function is (3 + 1) or 4.
d . Domain: {all real numbers}; Range:
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