HW 1.9B

Front

What is the test to determine if a graph's inverse would be a function?

Back

Horizontal line test

Front

What is the test to determine if a graph represents a function?

Back

Vertical line test

Front

What does it mean for a function to have an inverse that is also a function?

Back

The inverse function must pass the horizontal line test.

Front

How can you restrict the domain of a function to ensure its inverse is a function?

Back

By limiting the input values to a specific range, such as x ≥ 2.5.

Front

What is the definition of a function?

Back

A relation where each input has exactly one output.

Front

What is an inverse function?

Back

A function that reverses the effect of the original function.

Front

How do you find the inverse of a function algebraically?

Back

By swapping the x and y variables and solving for y.

Front

What is the significance of the horizontal line test?

Back

It determines if a function is one-to-one, meaning it has an inverse that is also a function.

Front

What is the significance of the vertical line test?

Back

It determines if a relation is a function by checking if any vertical line intersects the graph more than once.

Front

Can a function have more than one inverse?

Back

No, a function can have at most one inverse.