HW 1.9B

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

What is the definition of an inverse function?

Back

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

Back

A function is one-to-one if it never assigns the same value to two different domain elements, meaning each output is unique.

Front

What is the horizontal line test?

Back

The horizontal line test determines if a function has an inverse that is also a function; if any horizontal line intersects the graph more than once, the function is not one-to-one.

Front

What is the vertical line test?

Back

The vertical line test determines if a graph represents a function; if any vertical line intersects the graph more than once, it is not a function.

Front

How do you restrict the domain of a function?

Back

To restrict the domain, you limit the set of input values (x-values) to a specific interval or set that ensures the function is one-to-one.

Front

What is the significance of the point of intersection in a function and its inverse?

Back

Front

What is a common example of a function that is not one-to-one?

Back