TAA Unit 5 ALL topics

Front

What does it mean to find the inverse of a function?

Back

The x's and y's are switched.

Front

Back

Front

Back

Front

What is the inverse of the points (1,3)(2,4)(6,8)?

Back

(3,1)(4,2)(8,6).

Front

Back

Front

Define the domain of a function.

Back

The set of all possible input values (x-values) for which the function is defined.

Front

What is a function's range?

Back

The set of all possible output values (y-values) that a function can produce.

Front

Explain how to find the inverse of a function algebraically.

Back

Replace f(x) with y, switch x and y, and solve for y.

Front

What is the significance of a function being one-to-one?

Back

Each output value is associated with exactly one input value, allowing for an inverse to exist.

Front

How do you determine if a function is one-to-one?

Back

Use the horizontal line test: if any horizontal line intersects the graph more than once, the function is not one-to-one.