Functions (general)

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is an exponential function?

Back

Front

What is the difference between growth and decay in functions?

Back

Front

What is the y-intercept of a function?

Back

Front

How do you identify an exponential function from a table of values?

Back

An exponential function will show a constant ratio between consecutive outputs when the inputs are evenly spaced.

Front

What is the general form of a linear function?

Back

Front

What does it mean for a function to be linear?

Back

A linear function creates a straight line when graphed, indicating a constant rate of change.

Front

What is the formula for exponential decay?

Back

Front

How can you determine if a function is linear or exponential?

Back

You can determine this by checking if the rate of change is constant (linear) or if the ratio of change is constant (exponential).

Front

What is the significance of the base in an exponential function?

Back

The base determines the rate of growth or decay; a base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.