Linear vs Exponential Functions

Front

A(n) _________________ function will ADD the same number each time.

Back

Linear

Front

The graph of this function is a curve going up really fast or down really fast.

Back

Exponential

Front

Is the Equation Linear or Exponential? (Example: y = 2x + 3)

Back

Linear

Front

A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?

Back

y = 12.5x + 30

Front

Is the Equation Linear or Exponential? (Example: y = 3(2)^x)

Back

Exponential

Front

What is the general form of a linear function?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the general form of an exponential function?

Back

y = ab^x, where a is a constant, b is the base, and x is the exponent.

Front

If a linear function has a slope of 2, what does this mean?

Back

For every 1 unit increase in x, y increases by 2 units.

Front

What is the key characteristic of exponential growth?

Back

The quantity increases by a constant percentage over equal time intervals.

Front

What is the key characteristic of linear growth?

Back

The quantity increases by a constant amount over equal time intervals.