2. Which of the following is true of functions and their inverses?

A. The inverse of a quadratic function is not a function.

B. The inverse of a linear function is always a function.

C. The inverse of a quadratic function is always a function.

D. The inverse of a linear function is not a function.

Question

Mathematics

Zaiden Hamilton

27 September, 16:08

2. Which of the following is true of functions and their inverses?

A. The inverse of a quadratic function is not a function.

B. The inverse of a linear function is always a function.

C. The inverse of a quadratic function is always a function.

D. The inverse of a linear function is not a function.

+1

Answers (1)

Know the Answer?

Elena Woodward · Answer 1

Answer - A. (The inverse of a quadratic function is not a function)

Since a parabola (quadratic function) does not pass the horizontal line test, it is not possible for a quadratic equation to will have an inverse that is also a function.

Option B is wrong because the inverse of a linear function is not always a function because when the linear function has slope, the inverse cannot be a function.

Option C is wrong because the inverse of a quadratic function is never a function because a quadratic function does not pass the horizontal line test

Option D is wrong because the inverse of a linear function is a function, provided that the linear function has no slope.

2. Which of the following is true of functions and their inverses?A. The inverse of a quadratic function is not a function.B. The inverse of a linear function is always a function.C. The inverse of a quadratic function is always a function.D. The inverse of a linear function is not a function.