Comparing Functions (Domain and Range) Flashcard

Front

What is a function?

Back

A function is a relationship between a set of inputs (domain) and a set of possible outputs (range) where each input is related to exactly one output.

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 (x) that can be used in the function.

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 (y) that can result from using the function.

Front

How do you identify the domain from a graph?

Back

The domain can be identified by looking at the x-values that the graph covers.

Front

How do you identify the range from a graph?

Back

The range can be identified by looking at the y-values that the graph covers.

Front

What does it mean for a function to be linear?

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.

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What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

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What is the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

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What is an independent variable?

Back

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

Front

What is a dependent variable?

Back

A dependent variable is a variable that represents the output or effect in a function, typically denoted as y.