Question

1 functions and models homework - comet
30 spring 2026
mml 1.1 functions and models
question 11, 1.1.21
which of the following sets of ordered pairs defines a function?
a. {(8,4), (-3, -3), (2, -1), (4, -9)}
b. {(1,3), (4, -10), (4, -6), (-10,2)}
which sets of ordered pairs define a function?
a. a and b
b. b
c. a
d. neither set of ordered pairs defines a function.

Explanation:

Step1: Recall function definition

A function is a relation where each input (first element of ordered pair) has exactly one output (second element).

Step2: Check set a

For set a: $\{(8,4), (-3,-3), (2,-1), (4,-9)\}$
All first elements ($8, -3, 2, 4$) are unique. Each input has one output.

Step3: Check set b

For set b: $\{(1,3), (4,-10), (4,-6), (-10,2)\}$
The input $4$ maps to both $-10$ and $-6$. This violates the function definition.

Answer:

C. a