{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

3_2 - Section 3.2 Power Functions and Models Instructor Ms...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Section 3.2: Power Functions and Models Instructor: Ms. Hoa Nguyen ([email protected]) 1 Graphs Power function of degree n : f ( x ) = ax n (1) a = 0: real number. n > 0: integer number. Figure 1: EVEN power If n is EVEN, f ( x ) = x n , then y = f ( x ) > 0 for every x . The graph is symmetric about the y -axis. The graph always contains (0 , 0), (1 , 1), ( - 1 , 1). the graph TOUCHes the x -xis only at the origin (0 , 0). Remark : When the EVEN exponent n increases, the graph becomes more vertical when x < - 1 or x > 1. the graph tends to flatten out and lie closer to the x -axis for x near the origin. 1
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Figure 2: ODD power If n is ODD, f ( x ) = x n , then y = f ( x ) > 0 when x > 0. y = f ( x ) < 0 when x < 0. The graph is symmetric about the origin. The graph always contains (0 , 0), (1 , 1), ( - 1 , - 1). the graph CROSSes the x -xis only at the origin (0 , 0). Remark : When the ODD exponent n increases, the graph becomes more vertical when x < - 1 or x > 1. the graph tends to flatten out and lie closer to the x -axis for x near the origin.
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern