Evaluate And Graph Polynomial Functions Page 4

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f (x) = x
− x
− 4x
+ 4
(b)
4
3
2
y
5
x
-3
-2
-1
0
1
2
3
4
3
y
2
1
x
– 5
– 4
– 3
– 2
– 1
1
2
3
4
5
– 1
– 2
– 3
– 4
– 5
When you graph a polynomial function with a graphing calculator, you need to take some time to
set a good viewing window. A good viewing window shows the main features of the graph,
including:
• Intercepts
• Turning points
• End behavior
• General shape
( )
= 0.2x
− 5x
+ 38x − 97
3
2
6 (a) Graph
in the standard viewing window
f x
[-10, 10] by [-10, 10]. Make a rough sketch in the space below. How well can you see
each of the features listed above?
• Intercepts
• Turning points
• End behavior
• General shape
(b) Change the y-values of your window so that the y-intercept falls well within the interval.
(c) Change the x-values of your window so that you can see the x-intercept and the general
shape. Find the value of the x-intercept to the nearest thousandth.
(d) Write your viewing window parameters, and make a rough sketch.

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