Analyzing Functions Test 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

How do you determine the domain from a graph?

Back

To determine the domain from a graph, identify the x-values that the graph covers. The domain is the interval of x-values for which the graph exists.

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 determine the range from a graph?

Back

To determine the range from a graph, identify the y-values that the graph covers. The range is the interval of y-values for which the graph exists.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it assigns a unique output value for every unique input value, meaning no two different inputs produce the same output.

Front

How do you find the inverse of a function?

Back

To find the inverse of a function, swap the x and y variables in the equation and solve for y.

Front

What is the significance of the inverse function?

Back

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, it is not a function.

Front

What is a horizontal line test?

Back

The horizontal line test determines if a function is one-to-one. If any horizontal line intersects the graph at more than one point, the function is not one-to-one.

Front

What is a piecewise function?

Back

A piecewise function is a function defined by multiple sub-functions, each applying to a certain interval of the domain.