Identifying Linear Functions from Ordered Pairs

What is the first step in determining if a function is linear?

• Check if the x-values are decreasing

• Check if the x-values are increasing by the same amount

• Check if the y-values are decreasing

• Check if the y-values are increasing

Tags

CCSS.HSF-LE.A.1B

If the x-values increase by 1 and the y-values stay the same, what type of line is formed?

• Horizontal line

• Curved line

• Diagonal line

• Vertical line

In function three, if the x-values increase by 2 and the y-values increase by 4, is the function linear?

• No, because the y-values increase by 4

• Yes, because the x-values increase by 2

• No, because the differences are not consistent

• Yes, because the differences are consistent

Tags

CCSS.HSF-LE.A.1B

What makes function four not linear?

• The y-values do not increase by the same amount

• The x-values decrease

• The x-values do not increase by the same amount

• The y-values decrease

Tags

CCSS.8.F.A.3

In the practice problem, why is the function with x-values increasing by 4 and y-values increasing by 3 and 6 not linear?

• The y-values do not increase by the same amount

• The x-values do not increase by the same amount

• The y-values decrease

• The x-values decrease

Tags

CCSS.8.F.A.3

If the x-values increase by 1 and the y-values increase by 3, what can be concluded about the function?

• It is a vertical line

• It is not linear

• It is linear

• It is a horizontal line

Tags

CCSS.HSF-LE.A.1B

In the example where x-values increase by 3 and y-values decrease by 4, why is the function not linear?

• The y-values increase

• The x-values decrease

• The y-values do not decrease by the same amount

• The x-values do not increase by the same amount

Tags

CCSS.8.F.A.3

What is the common difference in y-values for a function to be considered linear?

• The y-values must increase by different amounts

• The y-values must decrease by different amounts

• The y-values must increase or decrease by the same amount

• The y-values must stay the same

Tags

CCSS.HSF-LE.A.1B

If the x-values increase by 1 and the y-values increase by 5, 3, and 2, is the function linear?

• Yes, because the x-values increase by 1

• Yes, because the y-values increase

• No, because the y-values do not increase by the same amount

• No, because the x-values increase

Tags

CCSS.HSF-LE.A.1B

What is the key concept to determine if a function is linear?

• The y-values must increase by different amounts

• The x-values must increase by different amounts

• The x-values must stay the same

• The x-values and y-values must increase or decrease by the same amount

Tags

CCSS.8.F.A.3