Back to Tutor Intake Assessment: Compare properties of two functions each represented in a different way

8.F.A.2 Tutor Intake -- Comparing Functions Across Representations

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Grade 8·7 problems·~8 min·Common Core Math - Grade 8·container·8-f-a-2

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Concepts

A linear function can be shown as an equation, a table, a graph, or
a verbal description. If you are only given the table for a
function, can you still find its rate of change and initial value?

Yes -- all four representations contain the same information about the function, just organized differently.

No -- rate of change and initial value can only be found from an equation.

No -- you would need to see the graph to find these values.

Only the rate of change can be found from a table, not the initial value.

Procedures

A function is shown in this table:

x: 0, 1, 2, 3
y: 4, 9, 14, 19

What is the rate of change?

A function is shown in this table:

x: 2, 4, 6, 8
y: 10, 16, 22, 28

What is the rate of change?

A function is shown in this table:

x: 0, 1, 2, 3
y: 12, 15, 18, 21

What is the initial value of this function?

A function is shown in this table:

x: 3, 4, 5, 6
y: 19, 23, 27, 31

What is the initial value of this function?

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