Functions Review

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a graph of a function. If any vertical line intersects the graph more than once, then the graph is not a function.

Front

What does it mean for a function to be constant?

Back

A function is constant if it does not change its value over a given interval; it has the same output for every input in that interval.

Front

What is a discrete function?

Back

A discrete function is a function that has specific, separate values, often represented by distinct points on a graph.

Front

What is a continuous function?

Back

A continuous function is a function that can be graphed with a single unbroken line, meaning it has no gaps or jumps.

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 is an independent variable?

Back

An independent variable is a variable that represents the input of a function, typically denoted as x.

Front

What is a dependent variable?

Back

A dependent variable is a variable that represents the output of a function, typically denoted as y, and depends on the independent variable.

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