Function Table Analysis: Validating Input-Output Pairs (-1,5), (0,8), (1,11)

Question

Determine whether the following table represents a function

XY-1015811

Video Solution

Solution Steps

00:00 Does the following table represent a function?
00:03 A function has a constant slope, a constant difference between Y values
00:07 Let's examine the differences between Y values and try to find the slope
00:10 Therefore the slope equals the difference, a graph with a slope is a function
00:13 And this is the solution to the question

Step-by-Step Solution

It is important to remember that a constant function describes a situation where as the X value increases, the function value (Y) remains constant.

In the table, we can see that there is a constant change in X values, meaning an increase of 1, and a constant change in Y values, meaning an increase of 3

Therefore, according to the rule, the table describes a function.

Answer

Yes

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Question Types

Representations of Functions: Determine whether the table represents a function