Page 188 - ABCTE Study Guide_Neat

Examples

• Minutes elapsed in a basketball game vs. total points scored
• Time a candle has been burning vs. height of candle
• Cost of dinner vs. amount of tip at 15%

Question

2
Given the domain {0, -2, -4} and the function rule f(x) = x + 1, find the range.

A {0, -2, -4}

B {0, 4, 16}

C {1, -5, -17}

D {1, 5, 17}

Answer

The correct answer is D. When a negative number is squared, the answer is positive. Then one is added
to each.

Inverse Functions

In an inverse function, the x-values (domain) and y-values (range) are switched. The function must be a
one-to-one function in order to have an inverse function. The range becomes the domain when the
function is inverted and, as you know, the domain can not have duplicate values.

Example

Question

Which set of ordered pairs represents the inverse of the function shown?