Features of Functions + Function Algebra

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

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.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input values increase, the output values decrease.

Front

What is a minimum value of a function?

Back

The minimum value of a function is the lowest point on the graph of the function.

Front

What is a maximum value of a function?

Back

The maximum value of a function is the highest point on the graph of the function.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the input value into the function's equation.

Front

What is function algebra?

Back

Function algebra involves performing operations such as addition, subtraction, multiplication, and division on functions.

Front

If f(x) = 2x + 3, what is f(2)?

Back

f(2) = 2(2) + 3 = 7.