Problem 5
Question
Determine whether each relation is a function. Give the domain and range for each relation. $$\\{(3,-2),(5,-2),(7,1),(4,9)\\}$$
Step-by-Step Solution
Verified Answer
The given relation is a function. The domain of the function is {3, 5, 7, 4} and the range is {-2, 1, 9}.
1Step 1: Checking if Each Relation is a Function
Inspect all ordered pairs to identify if each x-value (first number in the pair) is associated with a unique y-value (second number in the pair). For the set {(3,-2),(5,-2),(7,1),(4,9)}, each x-value is associated with only one y-value therefore the given relation is a function.
2Step 2: Determine the Domain
The domain, or the set of all x-values, is determined by listing all first numbers in each ordered pair. For the set {(3,-2),(5,-2),(7,1),(4,9)}, the domain is {3, 5, 7, 4}.
3Step 3: Determine the Range
The range, or the set of all y-values, is found by listing all second numbers each ordered pair. For the set {(3,-2),(5,-2),(7,1),(4,9)}, the range is {-2, 1, 9}.
Other exercises in this chapter
Problem 5
Plot the given point in a rectangular coordinate system. $$(-3,-5)$$
View solution Problem 5
Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, fa
View solution Problem 6
A discount pass for a bridge costs \(\$ 21\) per month. The toll for the bridge is normally \(\$ 2.50\), but it is reduced to \(\$ 1\) for people who have purch
View solution Problem 6
Find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimals places. $$(0,0) \text { a
View solution