Examples with solutions for Representations of Functions: Determine whether the table represents a function

Exercise #1

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

XY012348

Video Solution

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

Exercise #2

Determine whether the following table represents a function

XY-1015811

Video Solution

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

Exercise #3

Determine whether the following table represents a function

XY02468-3-3-3-3-3

Video Solution

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 the X values, specifically an increase of 2, and the Y value remains constant.

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

Answer

Yes

Exercise #4

Determine whether the following table represents a function

XY-101247

Video Solution

Answer

No

Exercise #5

Determine whether the following table represents a function

XY-226101416111621

Video Solution

Answer

Yes

Exercise #6

Determine whether the following table represents a function

XY-126123

Video Solution

Answer

No