Inverse Functions Practice

Front

The inverse of the function f(x) is written as ...

Back

f ^-1(x)

Front

When finding the inverse of a relation,

1st: replace f(x) with y 2nd: switch the x's and y's

What do you do next?

Back

solve for y

Front

The inverse has been reflected over which line? Options: y = x, x = 0, y = 0, x = -y

Back

y = x

Front

Inverse of the points (1,3)(2,4)(6,2)?

Back

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

Front

Back

Not One-to-One Function

Front

Which of the following best describes the graph? Options:

They are both functions, but not inverse functions.

,

They are reflected over y=x, but they are not both functions.

,

They are not reflected over y=x, and they are not both functions.

,

They are inverse functions.

Back

They are reflected over y=x, but they are not both functions.

Front

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

Back

(4, 1) and (6, 4)

Front

Which of the following best describes the graph? Options:

They are both functions, but not inverse functions.

,

They are reflected over y=x, but they are not both functions.

,

They are not reflected over y=x, and they are not both functions.

,

They are inverse functions.

Back

They are inverse functions.

Front

Which of the following is NOT TRUE about inverse functions?

• Inverse functions are reflections of each other over the line y = x.
• You find the inverse by switching x and y in the equation.
• The domain of a function becomes the domain of its inverse.
• The domain of a function becomes the range of its inverse.

Back

The domain of a function becomes the domain of its inverse.

Front

Which graph represents the functions f(x) and f^-1(x)?

Back