Functions in the REAL World Learning Goal for

Functions in the REAL World

Learning Goal for Focus 3 (HS. A-CED. A. 1, HS. F-IF. A. 1 & 2, HS. F-IF. B. 4 & 5): The student will understand the concept of a function and use of function notation. 4 In addition to level 3. 0 and above and beyond what was taught in class, the student may: · Make connection with other concepts in math · Make connection with other content areas. 3 2 1 0 The student will be able to understand the concept of a function. - Correctly use function terminology (domain, range, f(x)). - Determine if a relationship given in a table, graph, or words depicts a function. With help from the teacher, the student has partial success with function terminology, function notation and determining if a relation table or graph depict a function. Even with help, the student has no success understanding the concept of a function.

Review: Find the domain and range of the function: x 3 5 6 f(x) 5 -2 -4 10 12 -15 Domain: {3, 5, 6, 10, 12} Range: {5, -2, -4, -12, -15} x 0 -9 3 f(x) 10 8 10 4 -12 -5 -15 Domain: {0, -9, 3, 4, -12} Range: {10, 8, 10, -5, -15}

Find the domain of the function:

Find the domain and range of the function: The temperature in a house drops 2°F for every hour the air conditioner is on between the hours 6: 00 am and 11: 00 am. The following is a list of times and temperatures in the house: 6 am, 82°F; 8 am 78°F; 9 am 76°F; 10 am, 74°F, and 11 am, 72°F. Domain: Range: {6, 8, 9, 10, 11} {82, 78, 76, 74, 72}

Find the domain of the function: If the function f(n) represents the number of hours required to construct n pizzas at dinner time at the local delivery joint, what domain makes sense? You can’t make negative pizzas or partial pizzas. Domain: {whole numbers ≥ 0}

Find the domain of the function: Your cell phone plan charges you $0. 20 for each text message you send. Your parents put a cap of $50 on your texting bill each month. If f(x) = 0. 2 x is the cost of the total number of texts you send per month, what is the domain of the function? First find the maximum amount of texts you can send each month by substitute 50 in where f(x) is. 50 = 0. 2 x x = 250 You cannot go over 250 texts. Can you have negative text messages? Write the domain. Domain: {0 ≤ x ≤ 250}