Problem 8
Question
Determine whether each relation is a function. Give the domain and range for each relation. $$\\{(4,1),(5,1),(6,1)\\}$$
Step-by-Step Solution
Verified Answer
The given relation is a function. The domain of the function is \{4,5,6\} and the range is \{1\}.
1Step 1: Determine if the Relation is a Function
From the given set, \{(4,1),(5,1),(6,1)\}, it can be seen that each input (4, 5, 6) maps to a single output (1). Therefore, this relation is indeed a function.
2Step 2: Identify the Domain
The domain of a function consists of all the 'first' numbers of the ordered pairs. Here, the domain is \{4,5,6\}.
3Step 3: Identify the Range
The range of a function contains all the 'second' numbers of the ordered pairs. For this function, the range is \{1\}.
Other exercises in this chapter
Problem 7
Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$x^{2}=50$$
View solution Problem 7
Express each number in terms of i. $$\sqrt{-20}$$
View solution Problem 8
Find the \(x\) -intercepts for the parabola whose equation is given. If the \(x\) -intercepts are irrational numbers, round your answers to the nearest tenth. $
View solution Problem 8
Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$x^{2}+4 x+1=0$$
View solution