Constant Function Analysis: Evaluating Data Table {0,3}, {1,4}, {2,8}

Question

Determine whether the data in the following table represent a constant function

XY012348

Video Solution

Solution Steps

00:00 Does the following table represent a function?
00:03 A function has a constant slope, constant difference between Y values
00:07 Let's look at the differences between Y values and try to find the slope
00:10 The differences vary, the slope is not constant, therefore it's not a function
00:14 And this is the solution to the question

Step-by-Step Solution

It should be remembered 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 non-constant change in Y values - sometimes increasing by 1 and sometimes by 4

Therefore, according to the rule, the table does not describe a function

Answer

No

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Question Types

Representations of Functions: Determine whether the table represents a function