2Person Team Day 3 Activity

Front

What is the first step in finding the equation of the inverse of a function?

Back

Switch x and y.

Front

Back

Front

When creating a table for the inverse graph, what must you do with the given table of values?

Back

Switch the x and y.

Front

What is the inverse function of g(x) called?

Back

g^{-1}(x).

Front

Are these the graphs of two inverse functions?

Back

Yes.

Front

What is the definition of an inverse function?

Back

An inverse function reverses the operation of the original function.

Front

How do you find the inverse of a function algebraically?

Back

1. Replace f(x) with y. 2. Switch x and y. 3. Solve for y. 4. Replace y with f^{-1}(x).

Front

What is the relationship between a function and its inverse?

Back

If f(x) takes an input x to an output y, then f^{-1}(y) takes y back to x.

Front

What does the graph of a function and its inverse look like?

Back

They are reflections of each other across the line y=x.

Front

What is the notation for the inverse of a function f(x)?

Back

f^{-1}(x).