Linear Vs Exponential

Front

What is the main difference between linear and exponential functions?

Back

Linear functions have a constant rate of change, while exponential functions have a variable rate of change that increases rapidly.

Front

Define a linear function.

Back

A linear function is a function that graphs to a straight line and has a constant rate of change.

Front

What does it mean for a function to have a constant rate of change?

Back

It means that for every unit increase in the input, the output increases by a fixed amount.

Front

What type of function is represented by the equation y = 2x + 3?

Back

Linear function.

Front

What type of function is represented by the equation y = 3^x?

Back

Exponential function.

Front

If a function's graph is a straight line, what type of function is it?

Back

Linear.

Front

What is an example of a real-world situation that can be modeled by a linear function?

Back

Earning a fixed salary each week.

Front

What is an example of a real-world situation that can be modeled by an exponential function?

Back

Population growth where the population doubles at regular intervals.

Front

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

Back

The ratio of consecutive outputs will be constant.

Front

What happens to the value of an exponential function as x increases?

Back

The value increases rapidly.