Basic Inverse Properties

Which answer choice is the inverse of the given table?

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Answer explanation

When two functions are inverses they have the same points they are just switched.

Which of the following graphs shows two functions that are inverses of each other graphed on the same coordinate plane?

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Answer explanation

when two functions are inverses they will be reflections of each other over the line y = x. So they will be reflections diagonally.

Fill in the blank: Two functions are inverses if they are reflections across  ___________.

• the x-axis

• the y-axis

• the line y = x

• the origin

Which of the following statements is false?

• Two functions are inverses if they are reflections across the line

  y = x.

• Two functions, f(x) and g(x), are inverses if f(g(x)) = x and g(f(x)) = x.

• The domain of a functions becomes the range of its inverse.

• Two functions are inverses if they are reflections across the y-axis.

• The x-intercept becomes the y-intercept of the inverse.

How do you denote the inverse of a function?

• -f(x)

• f(-x)

Which of the following graphs has an inverse that is a function and therefore is considered one-to-one? (Hint: it must pass the horizontal line test)

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