1 / 27

Section 1.3: Basic Functions

Section 1.3: Basic Functions. January 24 th and 27 th , 2014. Constant (Zero Degree) Function. Domain: Range: Continuity: Increasing, Decreasing, Constant: Bounded: Extrema : Odd, Even, or Neither: Asymptotes: End Behavior:. Linear (1 st Degree) Function. Domain: Range:

chibale
Télécharger la présentation

Section 1.3: Basic Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Section 1.3: Basic Functions January 24thand 27th, 2014

  2. Constant (Zero Degree) Function • Domain: • Range: • Continuity: • Increasing, Decreasing, Constant: • Bounded: • Extrema: • Odd, Even, or Neither: • Asymptotes: • End Behavior:

  3. Linear (1st Degree) Function • Domain: • Range: • Continuity: • Increasing, Decreasing, Constant: • Bounded: • Extrema: • Odd, Even, or Neither: • Asymptotes: • End Behavior:

  4. Quadratic (2nd Degree) Function • Domain: • Range: • Continuity: • Increasing, Decreasing, Constant: • Bounded: • Extrema: • Odd, Even, or Neither: • Asymptotes: • End Behavior:

  5. Cubic (3rd Degree) Function • Domain: • Range: • Continuity: • Increasing, Decreasing, Constant: • Bounded: • Extrema: • Odd, Even, or Neither: • Asymptotes: • End Behavior:

  6. Square Root Function • Domain: • Range: • Continuity: • Increasing, Decreasing, Constant: • Bounded: • Extrema: • Odd, Even, or Neither: • Asymptotes: • End Behavior:

  7. Exponential Function • Domain: • Range: • Continuity: • Increasing, Decreasing, Constant: • Bounded: • Extrema: • Odd, Even, or Neither: • Asymptotes: • End Behavior:

  8. Logarithmic Function • Domain: • Range: • Continuity: • Increasing, Decreasing, Constant: • Bounded: • Extrema: • Odd, Even, or Neither: • Asymptotes: • End Behavior:

  9. Logistic Function • Domain: • Range: • Continuity: • Increasing, Decreasing, Constant: • Bounded: • Extrema: • Odd, Even, or Neither: • Asymptotes: • End Behavior:

  10. Reciprocal Function • Domain: • Range: • Continuity: • Increasing, Decreasing, Constant: • Bounded: • Extrema: • Odd, Even, or Neither: • Asymptotes: • End Behavior:

  11. Cosine Function • Domain: • Range: • Continuity: • Increasing, Decreasing, Constant: • Bounded: • Extrema: • Odd, Even, or Neither: • Asymptotes: • End Behavior:

  12. Sine Function • Domain: • Range: • Continuity: • Increasing, Decreasing, Constant: • Bounded: • Extrema: • Odd, Even, or Neither: • Asymptotes: • End Behavior:

  13. Absolute Value Function • Domain: • Range: • Continuity: • Increasing, Decreasing, Constant: • Bounded: • Extrema: • Odd, Even, or Neither: • Asymptotes: • End Behavior:

  14. Greatest Integer Function • Domain: • Range: • Continuity: • Increasing, Decreasing, Constant: • Bounded: • Extrema: • Odd, Even, or Neither: • Asymptotes: • End Behavior:

  15. Piecewise Functions • Given the graph, write the equation for the function. • Given the equation, graph the function.

  16. Who AM I? Guess the function or functions described.

  17. Reciprocal Function • I am a basic function that has both a vertical and a horizontal asymptote. Who am I?

  18. Square Root Function • I am a basic function whose domain is [0, ). Who am I?

  19. Absolute Value and Quadratic Functions • We are basic functions whose domains are (-, ) and ranges are [0, ). Who are we?

  20. Cubic and Linear Functions • We are basic functions with no asymptotes with end behavior described as and . Who are we?

  21. Logistic Function • I am a basic function that is bounded both above and below. I have two horizontal asymptotes. Who am I?

  22. Greatest Integer Function • I am a basic function that is odd. I have jump discontinuity. Who am I?

  23. Sine Function • I am a basic function that is bounded both above and below, but I have no asymptotes. I am an odd function. Who am I?

  24. Logarithmic Function • I am a basic function that has a vertical asymptote at x = 0. I am neither even, nor odd. Who am I?

  25. Cosine Function • I am a basic function that has an infinite number of extrema. I am an even function. Who am I?

  26. Constant Function • I am a basic function that never increases or decreases. Who am I?

  27. Exponential Function • I am a basic function with a domain of (-, ) and end behavior described as and . Who am I?

More Related