No Relative maxima: No Relative minima:
5-4 Analyzing Graphs of Polynomial Functions
Domain: {All real numbers}
Range: {All real numbers}
Complete each of the following.
a. Graph each function by making a table of values.
b. Determine the consecutive integer values of x between which each real zero is located.
c. Estimate the x-coordinates at which the relative maxima and minima occur.
3
2
14. f (x) = x
+ 3x
SOLUTION:
a .
b. The changes in sign indicate that there are zeros at –3 and at 0.
c. Relative maxima at x = –2; Relative minima at x = 0.
3
2
16. f (x) = x
+ 4x
– 5x
SOLUTION:
a.
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