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3.2 Power Functions and Models

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Presentation on theme: "3.2 Power Functions and Models"— Presentation transcript:

1 3.2 Power Functions and Models

2

3 Examples of Power Functions:

4 The graph is symmetric with respect to the y-axis, so f is even.
The domain is the set of all real numbers. The range is the set of nonnegative numbers. The graph always contains the points (-1,1), (0,0), and (1,1). As the exponent increases in magnitude, the graph becomes more vertical when x <-1 or x >1, but for x near the origin the graph tends to flatten out and lie closer to the x-axis.

5 (-1, 1) (1, 1) (0, 0)

6

7 The graph is symmetric with respect to the origin, so f is odd.
The domain and range are the set of all real numbers. The graph always contains the points (-1,-1), (0,0), and (1,1). As the exponent increases in magnitude, the graph becomes more vertical when x > 1 or x <-1, but for x near the origin the graph tends to flatten out and lie closer to the x-axis.

8 (0, 0) (1, 1) (-1, -1)

9

10 Show each stage to obtain the graph of

11 (1,1) (0,0)

12 (0,0) (1, -2)

13 (1,0) (2,-2)

14 (1, 4) (2, 2)


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