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HS.F.13

Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. (MP.7, MP.8)

Example Problems

The exponential function y, represented in the table, can be written as

y(x) = a \cdot b^x

.

x	y(x)
0	4
1	6

Complete the equation for

y(x)

.

The exponential function k, represented in the table, can be written as

k(x) = a \cdot b^x

.

x	k(x)
0	9
1	27

Complete the equation for

k(x)

.

The exponential function z, represented in the table, can be written as

z(x) = a \cdot b^x

.

| x | z(x) |
| 0 | 3 |
| 1 | 9 |

Complete the equation for

z(x)

.

Khan Academy Resources

Exponential vs. linear growth Exponential vs. linear models: table Exponential vs. linear growth

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