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Algebra 4.4

Algebra 4.4. Graphing Functions. Learning Targets. Language Goal Students will be able to say information from reading a graph. Math Goal Students will be able to graph functions given a limited domain and graph functions given a domain of all real numbers. Essential Question

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Algebra 4.4

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  1. Algebra 4.4 Graphing Functions

  2. Learning Targets Language Goal Students will be able to say information from reading a graph. Math Goal Students will be able to graph functions given a limited domain and graph functions given a domain of all real numbers. Essential Question How do graph a function of all real numbers?

  3. Warm-up

  4. Homework Check

  5. Homework Check

  6. Example 1: Graphing Solutions Given a Domain Graph each function for the given domain. A. Step 1: Solve for y since you are given values of the domain, or x. Step 2: Substitute the values of the Step 3: Graph the ordered pairs domain for x and find values of y.

  7. Example 1: Graphing Solutions Given a Domain Graph each function for the given domain. B. Step 1: Solve for y since you are given values of the domain, or x. Step 2: Substitute the values of the Step 3: Graph the ordered pairs domain for x and find values of y.

  8. Example 1: Graphing Solutions Given a Domain Graph each function for the given domain. C. Step 1: Solve for y since you are given values of the domain, or x. Step 2: Substitute the values of the Step 3: Graph the ordered pairs domain for x and find values of y.

  9. Example 1: Graphing Solutions Given a Domain Graph each function for the given domain. D. Step 1: Solve for y since you are given values of the domain, or x. Step 2: Substitute the values of the Step 3: Graph the ordered pairs domain for x and find values of y.

  10. Example 2: Graphing Functions Graph each function. A. Step 1: Choose several values for x Step 2: Plot enough points to and generate ordered pairs. see a pattern. Step 3: Connect the points

  11. Example 2: Graphing Functions Graph each function. B. Step 1: Choose several values for x Step 2: Plot enough points to and generate ordered pairs. see a pattern. Step 3: Connect the points

  12. Example 2: Graphing Functions Graph each function. C. Step 1: Choose several values for x Step 2: Plot enough points to and generate ordered pairs. see a pattern. Step 3: Connect the points

  13. Example 2: Graphing Functions Graph each function. D. Step 1: Choose several values for x Step 2: Plot enough points to and generate ordered pairs. see a pattern. Step 3: Connect the points

  14. Example 3: Finding Values A. Find the value of x so that (x, 6) satisfies

  15. Example 3: Finding Values B. Find the value of x so that (x, -4) satisfies f(x)

  16. Example 4: Word Problems A mouse can run 3.5 meters per second. The function y = 3.5x describes the distance in meters the mouse can run in x seconds. Estimate how many meters a mouse can run in 2.4 seconds.

  17. 4.1 – 4.4 Quiz Tomorrow! Let’s Review!

  18. Quiz Review 4.1 Match the situation to the graph below. A baby lost a little weight, then gained weight slowly. A baby gained weight at a rapid pace. A baby gained weight at an uneven pace, then maintained a constant weight.

  19. 4.1 Review Draw a graph of the following situation. Then tell whether it is discrete or continuous. Lora has $15 to spend on movie rentals for the week. Each rental costs $3. Don’s hair grows steadily longer between haircuts. Discrete or Continuous Length Discrete or Continuous Time

  20. 4.2 Review Express each relation as a table, as a graph, and as a mapping diagram.

  21. 4.3 Review Find the Domain, Range, and tell whether the following is a function and explain. D: R: Function? Explain:

  22. Determine the relationship between the x- and y- values. Write an equation.

  23. 4.3 Review • Identify the Independent and Dependent variables. • Ice cream sales increase when the temperature rises. Independent: Dependent: • Food for the catered party costs $12.75 per person. Independent: Dependent

  24. 4.4 Review Graph each function for the given domain. Step 1: Substitute the values of the Step 2: Graph the ordered pairs domain for x and find values of y.

  25. Lesson Quiz

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