Exponential Functions

Solving a word problem by translating it into an equation

Memorizing multiplication tables

Copying answers from a textbook

Ignoring units in calculations

It increases rapidly as x increases and decreases slowly as x decreases.

It decreases rapidly as x increases and increases slowly as x decreases.

It remains constant regardless of x.

It oscillates as x increases or decreases.

Investments with a fixed compound interest rate

The number of microorganisms in a culture dish

Population size

The rate at which an object cools

The smaller the quantity becomes, the more slowly it decays.

The smaller the quantity becomes, the faster it decays.

The rate of decay is constant regardless of size.

Exponential decay only applies to radioactive materials.

N = 100 × 2^t

N = 100 × t^2

N = 2 × 100^t

N = 100 × t

$1225.04

$1210.00

$1230.00

$1200.00

That compounding more frequently can make the amount as large as desired

That compounding less frequently gives more money

That the interest rate does not matter

That the principal amount does not affect the outcome

It increases rapidly for positive x and approaches zero for negative x.

It decreases rapidly for positive x and increases for negative x.

It is a straight line passing through the origin.

It is a parabola opening upwards.

Exponential growth increases over time, while exponential decay decreases over time.

Exponential growth decreases over time, while exponential decay increases over time.

Both exponential growth and decay increase over time.

Both exponential growth and decay decrease over time.

15

0

-0.083

1