Problem 7
Question
Determine whether each relation is a function. Give the domain and range for each relation. $$\\{(-3,-3),(-2,-2),(-1,-1),(0,0)\\}$$
Step-by-Step Solution
Verified Answer
Yes, the given relation is a function. The domain is \{-3, -2, -1, 0\} and the range is also \{-3, -2, -1, 0\}.
1Step 1: Identify if the Relation is a Function
Look for any repeated x-values. In the given relation, \{(-3,-3),(-2,-2),(-1,-1),(0,0)\}, each x-value appears only once. Therefore, the relation is a function.
2Step 2: Identify the Domain of the Relation
The domain of a relation is the set of all x-values. In this case, the domain is: \{-3, -2, -1, 0\}.
3Step 3: Identify the Range of the Relation
The range of a relation is the set of all y-values or outputs. The y-values in the relation are: -3, -2, -1, 0. So, the range is: \{-3, -2, -1, 0\}.
Other exercises in this chapter
Problem 7
Plot the given point in a rectangular coordinate system. $$(4,-1)$$
View solution Problem 7
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 8
You are choosing between two plans at a discount warehouse. Plan A offers an annual membership fee of \(\$ 300\) and you pay \(70 \%\) of the manufacturer's rec
View solution Problem 8
Find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimals places. $$(-4,-1) \text {
View solution