5-4 Analyzing Graphs Of Polynomial Functions Worksheet With Answers Page 17
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23b. As x increases, f (x) increases.
c. Sample answer: The graph suggests that the number of pager subscribers will increase dramatically and continue
to increase.
d . Sample answer: The graph is unreasonable for
since pager use is currently decreasing rapidly and pagers
5-4 Analyzing Graphs of Polynomial Functions
have been replaced by more efficient products.
For each function,
a. determine the zeros, x- and y-intercepts, and turning points,
b. determine the axis of symmetry, and
c. determine the intervals for which it is increasing, decreasing, or constant.
4
2
42. f (x) = x
– 8x
+ 16
SOLUTION:
Graph the function.
a. The zeros of the function are: x = 2, –2;
x-intercepts: x = 2, –2;
y-intercept: y = 16
Turning points: x = –2, 0, 2
b. The axis of symmetry is x = 0.
c . The function is increasing in the intervals
and
and decreasing in
and
4
3
44. f (x) = –2x
+ 4x
– 5x
SOLUTION:
Graph the function.
a. The zeros of the function are:
.
x-intercepts:
;
y-intercept: y = 0;
Turning point:
;
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Page 17
b. No axis of symmetry.
c. Increasing:
Decreasing:
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