Inverses and Exponentials

• A student ID number assigned to each student is an example of a one-to-one function.

• always true

• sometimes true

• never true

• The relationship between a person’s age and their date of birth is a one-to-one function.

• always true

• sometimes true

• never true

• The function assigning a student to their class schedule is always a one-to-one function.

• always true

• sometimes true

• never true

• Every one-to-one function has an inverse.

• always true

• sometimes true

• never true

• The inverse of a quadratic function is always another quadratic function.

• always true

• sometimes true

• never true

• If a function is one-to-one, then switching x and y will always give its inverse.

• always true

• sometimes true

• never true

• If a function and its inverse are graphed, they are symmetric with respect to the line y=x.

• always true

• sometimes true

• never true

• The table of values of a function and its inverse always have their inputs and outputs interchanged.

• always true

• sometimes true

• never true

• If a function is graphed as a straight line, its inverse is also always a straight line.

• always true

• sometimes true

• never true

• The domain of a function is always the range of its inverse.

• always true

• sometimes true

• never true