Exponential vs. Linear Functions Explained

A function that remains constant over time.

A function that increases by multiplying by a constant factor.

A function that decreases by subtracting a constant amount.

A function that increases by adding a constant amount.

The starting value.

The multiplier.

The exponent.

The constant rate of change.

It varies because of repeated multiplication.

It varies because of repeated addition.

It is zero.

It is constant.

y = mx + b

y = a * B^x

y = a/x

y = ax^2 + bx + c

A curve that increases exponentially.

A vertical line.

A line with a constant slope.

A horizontal line.

6

3

2

1

The y-intercept

The slope

The exponent

The multiplier

By checking if the X-values increase or decrease by a constant amount.

By checking if the Y-values increase or decrease by a constant amount.

By checking if the X-values are multiplied by a constant factor.

By checking if the Y-values are multiplied by a constant factor.

A cab company charges two dollars and fifty cents initially and three dollars per mile.

A car depreciates fifteen percent per year.

A gym charges a membership fee of ten dollars down and ten dollars per month.

A restaurant plate earns 12.50 per hour.

Linear

Constant

Quadratic

Exponential