Algebra Unit 4 Function Review

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 does it mean for a function to be piecewise?

Back

A piecewise function is defined by different expressions or rules for different parts of its domain.

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

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 expression and simplify.

Front

What is an increasing interval in a function?

Back

An increasing interval is a range of x-values where the function's output (y-value) is rising as x increases.

Front

What is a decreasing interval in a function?

Back

A decreasing interval is a range of x-values where the function's output (y-value) is falling as x increases.

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 function's intercept?

Back

An intercept is a point where the graph of a function crosses the x-axis (x-intercept) or y-axis (y-intercept).

Front

What is the difference between a closed interval and an open interval?

Back

A closed interval includes its endpoints, while an open interval does not.

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