Objective 6: Evaluating Functions & Function Notation

Name:______Date:______Period:______

Unit 2 Golden Tickets

Objective 6: Evaluating Functions & Function Notation

Directions:Answer each question and show your work on a separate sheet of paper.

1. Write using function notation.
2. Write using function notation.
3. Write using function notation.

1. Given , find .
2. Given , find .
3. Given , find .

1. Using the function and evaluate the following:

1. Does

Name:______Date:______Period:______

Unit 2 Golden Tickets

Objective 7: Domain & Range from Word Problems

Directions:Answer each question and show your work on a separate sheet of paper.

1. The function represents the price y for a sandwich with x toppings. Which is NOT a reasonable range value for this function? Explain why you chose your answer.

1. $ 7.99
2. $ 9.49
3. $ 10.99
4. $ 8.49

1. You are buying apples for $0.24 each and have a gift card with $3.00. The function represents your total cost if you buy x apples and use the gift card. How much do you pay to buy 16 apples? 18 apples? 25 apples? 36 apples?
2. The function represents the price y for a cell phone that uses x minutes. Which of the following is NOT a reasonable domain value for this function? Explain.

1. 7
2. 15
3. -9
4. 67

1. The Year Book committee decided to compare the total number of pages used as a function of x to the number of yearbooks sold each year y. The Year Book committee was able to gather the following information as ordered pairs (245, 5), (249, 6), (735, 15) and (1080 , 24).
2. Determine the domain for this situation.
3. Determine the range for this situation.

Name:______Date:______Period:______

Unit 2 Golden Tickets

Objective 8: Identifying Functions

Directions: Answer each question and show your work on a separate sheet of paper.

1. Determine which relation defines a function or not a function and justify your answer.
2. In a high school, each student’s height x in inches is paired with the student’s favorite color.
3. Each person’s social security number x is paired with their birthday.
4. A bank account number x is paired with a person’s shoe size.
5. Every student’s age x is paired with the amount of animals they own.
6. A student’s ID number x is paired with the grade level they are in.
7. Determine which graphs represent functions or relations and explain why.

1. Determine which tables represent a function or relation and explain why.

1. Determine which equations represent a function or relation and explain why.

1. Determine which ordered pairs represent a function or relation and explain why.
2. { (0, 0), (0, 2), (2. 0), (2, 2) }
3. { (2, 2) (3, 2), (3, 3), (1, 4) }
4. { (4, 3), (3, 7), (7, 3), (3, 4) }
5. { (-2, -3), (-3, -2), (2, 3) , (3, 2) }

Name:______Date:______Period:______

Unit 2 Golden Tickets

Objective 9: Domain & Range from Graphs and Tables

Directions: Answer each question and show your work on a separate sheet of paper.

1. What is the range of the function ?
2. What is the range of the function ?
3. Use the table to answer the following questions a-g.

x / -7 / -4 / -1 / 2 / 5 / 8 / 11 / 14 / 17
f(x) / 27 / 22 / 17 / 12 / 7 / 2 / -3 / -8 / -13

1. What is the value of the domain when the range is 17?
2. What is the value of the domain when the range is 7?
3. What is the value of the range when the domain is 17?
4. What is the value of the range when the domain is 8?
5. What is the solution when ?
6. What is the solution for ?
7. What is the solution when ?

1. Find the range of the function, , if the domain is {-3, 2, 5}.
2. Find the range of the function, , if the domain is {-7, -3, 0, 2}.
3. If the domain is {-9, -1, 5), what is the range of ?
4. Determine the domain and range for each of the following.
5. b.

The function is depicted above,If the function graphed above is ,

what is the solution to find .

1. Using the graph below answer the following questions.

1. What is the domain?
2. What is the range?
3. What is the value for the range when the domain is -3?
4. What is the value of the range when the domain is 0?