Writing Exponential Equations from Data

The base of the natural logarithm

The initial value or y-intercept

The variable exponent

The common ratio

Exponential decay

Linear growth

No growth

Exponential growth

By multiplying the first y-value by the common ratio

By finding the value when x equals 0

By dividing any y-value by 2

By finding the value when x equals 1

4

3

48

12

Less than 1

Greater than 1

Equal to 1

Equal to 0

By subtracting the smallest y-value from the largest

By adding the y-values together

By dividing a y-value by the preceding y-value

By multiplying the y-values

It forms a straight line

It goes downwards from left to right

It remains constant

It goes upwards from left to right

By finding where the graph crosses the x-axis

By calculating the slope of the graph

By finding where the graph crosses the y-axis

By finding the highest point on the graph

The line moves downwards

The line is straight

The line forms a circle

The line moves upwards

It is determined by dividing one y-value by the previous y-value

It is the sum of all x-values

It is the difference between any two y-values

It is the average of all y-values