1 / 15

Deep and Wide: Domain & Range

Deep and Wide: Domain & Range. TEKS A.2B The student is expected to identify mathematical domains and ranges and determine reasonable domain and range values for given situations, both continuous and discrete.

warren-wynn
Download Presentation

Deep and Wide: Domain & Range

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. Deep and Wide: Domain & Range TEKS A.2B The student is expected to identify mathematical domains and ranges and determine reasonable domain and range values for given situations, both continuous and discrete

  2. A function is a set of ordered pairs of numbers (x, y) such that no x –values are repeated. • What are the domain and range of a function? • The domain and range of a function are sets that describe those ordered pairs.

  3. The domain is the set of all the values of the independent variable, the x-coordinate The range is the set of all the values of the dependent variable, the y-coordinate.

  4. Identify the domain and range of the function below. { 2, 7), (4, 11), (6, 15), (8, 19)} • The domain is { 2, 4, 6, 8} • The range is { 7, 11, 15, 19}

  5. Graphs • The domain of a function is the set of all the x-coordinates in the functions’ graph Domain 3 ≤ x ≤ 12

  6. The range of a function is the set of all the y-coordinates in the functions’ graph Range 6 ≤ y ≤ 12

  7. What is the domain of this function?What is the range of this function? Domain is 0 ≤ x ≤ 4 Range is 1 ≤ y ≤ 5

  8. The graph shows the path of a golf ball What is the range of this function? F 0 < y < 100 G 0 ≤ y ≤ 100 H 0 ≤ x ≤ 5 J 0 ≤ x ≤ 5

  9. What is the domain of this function? A -1 ≤ x ≤ 5 B -1 ≤ x ≤ 9 C 2 ≤ x ≤ 5 D 0 ≤ y ≤ 9

  10. What is the domain of the function shown on the graph? A -2 < y ≤ 2 B -4 ≤ x ≤ 6 C -4 < y ≤ 2 D -2 < x ≤ 6

  11. Sometimes you will be asked to determine a REASONABLE domain or range

  12. The average daily high temperature for the month of May is represented by the function t = 0.2n + 80 Where n is the date of the month. May has 31 days. What is a reasonable estimate of the domain? Answer: 1 ≤ n ≤ 31 What is a reasonable estimate of the range Answer: See next slide

  13. Our function rule is:t = 0.2n + 80 Our domain is 1 ≤ n ≤ 31 Our smallest possible n is 1 Our largest possible n is 31 To find the range, substitute 1 into the equation and solve. Then substitute 31 into the equation and solve.

  14. Our function rule is:t = 0.2n + 80 Substitute a 1 t = 0.2n + 80 t = 0.2(1) + 80 t = 0.2 + 80 t = 80.2 Substitute a 31 t = 0.2n + 80 t = 0.2(31) + 80 t = 6.2 + 80 t = 86.2 Reasonable range is 80.2 ≤ t ≤ 86.2

More Related