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Name _______________________________
Common Core Algebra 9H – Defining Functions
Date ________________
HW # 33
1. Which of the following are examples of a function? Justify your answers.
a. The assignment of the members of a football team to jersey numbers.
b. The assignment of U.S. citizens to Social Security Numbers.
c. The assignment of zip codes to residences.
d. The assignment of teachers to the students enrolled in each of their classes.
e. The assignment of each real number to the absolute value of the number.
2. Let X = {-4, -2, 0, 2, 4} and Y = {6, 8, 10, 12, 14, 16, 18}
f is defined as f: X → Y
f = {(-4, 8), (-2, 18), (0, 14), (2, 16), (4, 6)}
a. Is f a function? Explain. If yes, state the domain and range.
b. What is f(-2)?
c. For what value of x does f(x) = 6?
d. According to this definition could f(x) = 20? Explain.
3. Let X = {Whole Numbers} and Y = {Perfect Cubes}
f is defined as f: X → Y
a. Is f a function? Explain.
b. What is f(4)?
c. For what value of x does f(x) = 216?
4. Determine if the relation below is a function. Explain why or why not.
Let X = {Person} and
Y = {Birthday}
f is defined as f: Y → X
5. Create mappings that satisfy the given requirements.
a. f is a function:
b. f is not a function
Mixed Review
1. Find three consecutive odd integers such that the smallest integer is 6 more than the sum of the
largest and double the middle integer.
2. What is the additive inverse of 3x2 – 5x + 19?