Question

(Linear Functions MC)

Which of the following tables represents a linear function?


x −4 −1 0 1 2
y −4 2 −4 0 2

x 1 1 1 1 1
y −3 −2 −1 0 1

x −6 −1 0 2 3
y −7 negative sixteen thirds −5 negative thirteen thirds −4

x −2 −1 0 2 4
y −4 negative two thirds −1 two thirds 1

Answer 1

The second table represents a linear function.

Step-by-step explanation:

A linear function is a function that can be represented by a straight line. To determine if a table represents a linear function, we need to check if the points in the table can be connected by a straight line. Looking at the given tables:

1. x: -4, -1, 0, 1, 2; y: -4, 2, -4, 0, 2 - These points cannot be connected by a straight line.
2. x: 1, 1, 1, 1, 1; y: -3, -2, -1, 0, 1 - These points can be connected by a straight line.
3. x: -6, -1, 0, 2, 3; y: -7, negative sixteen thirds, -5, negative thirteen thirds, -4 - These points cannot be connected by a straight line.
4. x: -2, -1, 0, 2, 4; y: -4, negative two thirds, -1, two thirds, 1 - These points can be connected by a straight line.

Therefore, the second table represents a linear function.