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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:

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Section 1.3: Basic Functions

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  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?

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