Unit 3 relations and functions homework 5 zeros of functions answers

At any particular input value, there can be only one output if the relation is to be a function. 5. When a horizontal line intersects the graph of a function more than once, that indicates that for that output there is more than one input.

A relation is a set of ordered pairs. A function is a special kind of relation in which no two ordered pairs have the same first coordinate. 3. When a vertical line intersects the graph of a relation more than once, that indicates that for that input there is more than one output.

The domain of function f − 1 is ( − ∞, − 2) and the range of function f − 1 is (1, ∞). 5. ⓐ f(60) = 50. In 60 minutes, 50 miles are traveled. ⓑ f − 1(60) = 70. To travel 60 miles, it will take 70 minutes.

There is no restriction on x for f(x) = 3√x because you can take the cube root of any real number. So the domain is all real numbers, ( − ∞, ∞).