Exponential and Logarithmic Functions

Two units along t-axis.

Exactly one unit along t-axis.

Half-unit along t-axis.

Variable units depending on $P_0$.

The square root of the variable showing growth.

The inverse of the variable showing growth.

The logarithm of the variable showing growth.

The variable showing growth without any modifications.

Exponential function

Logarithmic function

Quadratic function

Linear function

Quadratic or polynomial trend data

Exponential growth or decay data

Cyclic or periodic function data

Linear relationship data

Maintains both steepness and linearity

Increases steepness and disrupts linearity

Decreases steepness while maintaining linearity

Increases steepness while maintaining linearity

Zero

Infinity

Negative but greater than negative one

Positive but less than one

Neither axis; it varies with each dataset represented on the plot.

The horizontal (x-axis)

Both axes equally often have logarithmic scales.

The vertical (y-axis)

It increases by an order of magnitude.

It decreases by an order of magnitude.

It remains constant.

It doubles.

The variables have a quadratic relationship.

The variables have an exponential relationship.

The variables are not related.

The variables have a linear relationship.

Population variance information

Initial reproduction ratio

Maximum mortality

Carrying capacity