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Determine if Graphs are Functions: Warm Up Exercise

In this exercise, you will warm up by determining if given graphs represent functions. You will state the domain and range for each graph and use the vertical line test to determine if it is a function.

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Determine if Graphs are Functions: Warm Up Exercise

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  1. Warm Up For #’s 1 – 3, determine if it is a function, state the domain, and the range. 1. {(2,4), (3, 6), (5,1), (4,4)} • {(-2 5), (-2,8), (5,9)} x y • Answers • Function; D: {2,3,4,5}; R: {1,4,6} • Not a function; D:{-2,5}; R:{5,8,9} • Function; D:{-2,0,2}; R:{4} -2 4 0 4 2 4

  2. Chapter 9.2 and 9.3 Vertical Line Test & Domain and Range of Graphs

  3. Vertical Line Test If you can draw a vertical line through any part of the graph and the line crosses at _____________, then the relation ____ a function. If you can draw a vertical line through any part of the graph and the line crosses at _________, then the relation ___ a function. more than 1 point is not is 1 point

  4. How can I tell if a relation is a function? Draw vertical line(s). See if the vertical line passes through more than 1 spot. Function Not a Function

  5. Try these: b. a. c. d.

  6. Domain and Range from a Graph {-7, -4, 2, 4} Domain: Range: Function: {-3, 2, 5} YES

  7. Domain and Range from a Graph Sometimes we can’t write every x and y value, so we use inequality notation. Determine the domain and range and if it is a function. Domain: We need to determine the smallest x value and the largest x value.

  8. Domain and Range from a Graph Sometimes we can’t write every x and y value, so we use inequality notation. Determine the domain and range and if it is a function. Range: We need to determine the smallest y value and the largest y value. Function: Yes it passes the vertical line test

  9. Example 2: Domain: Range: Function: yes

  10. Example 3: Arrows tell us that the line continues on forever so we may not be able to determine smallest values and largest values. Domain: Range: Function: All real numbers or yes

  11. Example 4: Domain: Range: Function: No

  12. Example 5: Domain: Range: Function: No

  13. Last one! Domain: Range: Function: No

  14. Summary • How do you know if a graph is a function? Classwork: Classwork 9.2 Homework: worksheet 9.2

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