HSF.IF.C.9: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

Also written as F-IF.9 or F.IF.9

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

Example Problems

Does the following rule describe the relationship between the x- and y-coordinates in the table?

y = \frac{x}{3}

x	y
6	2
9	3
12	4

Does the following rule describe the relationship between the x- and y-coordinates in the table?
Add 3 to x to get y

x	y
2	5
3	6
4	7

Does the following rule describe the relationship between the x- and y-coordinates in the table?
Divide x by 2 to get y

x	y
4	2
6	3
8	4

Khan Academy Resources

Comparing linear functions word problems Compare quadratic functions Compare features of functions Compare linear functions Comparing linear functions word problem: work Comparing linear functions: equation vs. graph Comparing functions: x-intercepts Comparing linear functions: faster rate of change Comparing linear functions word problem: climb Comparing maximum points of quadratic functions Comparing features of quadratic functions Comparing functions: shared features Comparing linear functions word problem: walk Comparing linear functions: same rate of change

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