IXL - Identify linear, quadratic, and exponential functions from tables (Algebra 2 practice)

Is this function linear, quadratic, or exponential?

x	y
3	27
4	48
5	75
6	108
7	147

linear

quadratic

exponential

ref_doc_title.

Learn with an example

question

Is this function linear, quadratic, or exponential?

x	y
0	5
1	10
2	20
3	40
4	80

linear

quadratic

exponential

key idea

You can determine if a function is linear, quadratic, or exponential by looking at the pattern of

-values.

solution

Since the

-values

in the table are consecutive, you can compare successive

-values

to determine which type of function the table describes.

You can test whether a function is linear by finding the differences between successive

-values,

which are called the first

differences.

If the first differences are all equal, the function is linear.

Find the first differences in the table.

x	y
0	5	+ 5
1	10	+ 10
2	20	+ 20
3	40	+ 40
4	80

Since the first differences are not all equal, the function can't be linear.

You can test whether a function is exponential by finding the ratios between successive

-values.

If the ratios are all equal, the function is exponential.

Find the ratios in the table.

x	y
0	5	× 2
1	10	× 2
2	20	× 2
3	40	× 2
4	80

The ratios between successive

-values

are all 2, so the function is exponential.

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Teacher tools

Work it out

Not feeling ready yet? These can help:

MM.12Sequences: mixed review

Identify linear, quadratic, and exponential functions from graphs

AA.3Identify linear and exponential functions from tables

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