Linear + Exponential Functions Review

Front

What is an explicit function?

Back

An explicit function is a function where the dependent variable is expressed directly in terms of the independent variable, allowing for direct computation of output values.

Front

Write the explicit equation for a linear function with a constant rate of change of 4, starting at 4.

Back

f(n) = 4 + 4(n - 1)

Front

What is the difference between discrete and continuous functions?

Back

Discrete functions consist of distinct, separate values, while continuous functions can take any value within a given range.

Front

Back

Exponential function.

Front

If Adam earns $10 for each car he washes, what type of function does this represent?

Back

Discrete function.

Front

What is the general form of a linear function?

Back

A linear function can be expressed as f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

A function is linear if it has a constant rate of change; it is exponential if it grows by a constant factor.

Front

Write the explicit function from the table: f(-1) = -8; f(x) = f(x-1) + 7.

Back

f(x) = -8 + 7(x - 1)

Front

What is the formula for the perimeter of a square with side length s?

Back

P = 4s.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.