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Chapter 1: Lesson 1.5 Analyzing Graphs of Functions

Chapter 1: Lesson 1.5 Analyzing Graphs of Functions. Domain : All possible inputs (x) of a relation. Range : All possible outputs (y) of a relation. HW #9. Vertical Line Test A relation is a function if no vertical line intersects the graph of the relation at more than 1 point. See page 50.

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Chapter 1: Lesson 1.5 Analyzing Graphs of Functions

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  1. Chapter 1: Lesson 1.5Analyzing Graphs of Functions Domain: All possible inputs (x) of a relation. Range: All possible outputs (y) of a relation. HW #9

  2. Vertical Line Test A relation is a function if no vertical line intersects the graph of the relation at more than 1 point. See page 50

  3. Finding the Zeros (or roots) Zeros or roots are also called x-intercepts if they are real numbers. All x-intercepts are zeros…or roots, but not all zeros are x-intercepts. The zeros of a relation are the x-values that make f (x) = 0.

  4. Describing Function Behavior See page 52 HW #33

  5. Relative Minima and Relative Maxima This is best handled visually on page 53

  6. Average Rate of Change For the interval of x = 1 to x = 5

  7. Odd, Even, or Neither Even Functions: Visually symmetric about the y-axis. f(-x) = f(x) (x, y) → (-x, y) Odd Functions: Symmetric with respect to the origin. f(-x) = -f(x) (x, y) → (-x, -y) Graph and determine whether the function is odd, even, or neither, Verify algebraically. #78 f(x) = 5 – 3x

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