CHARACTERISTICS OF FUNCTIONS

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs, known as the domain.

Front

What does f(0) represent in a function?

Back

f(0) represents the output of the function when the input is 0.

Front

What is end behavior in the context of functions?

Back

End behavior describes how the values of a function behave as the input approaches positive or negative infinity.

Front

What does h(4) = 500,000 mean in a function?

Back

It means that after 4 hours, the function h(t) indicates that the output value is 500,000.

Front

How do you determine when a function is increasing?

Back

A function is increasing on an interval if, as you move from left to right, the output values rise.

Front

What is the difference between open and closed intervals?

Back

An open interval does not include its endpoints, while a closed interval includes its endpoints.

Front

What is the domain of a function?

Back

The domain of a function is the complete set of possible values of the independent variable (input).

Front

What is the range of a function?

Back

The range of a function is the complete set of possible values of the dependent variable (output).

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b.