Problem 2
Question
Determine whether each relation is a function. Give the domain and range for each relation. $$\\{(4,5),(6,7),(8,8)\\}$$
Step-by-Step Solution
Verified Answer
Yes, this relation is a function. The domain is {4, 6, 8} and the range is {5, 7, 8}.
1Step 1: Determine if the relation is a function
Look at the given set of ordered pairs \{(4,5),(6,7),(8,8)\}. Each 'x' value (4, 6, 8) maps to a unique 'y' value. There are no 'x' values that map to more than one 'y' value. Therefore, this relation is a function.
2Step 2: Identify the domain
The domain is the set of all 'x' values. In this case, the domain is {4, 6, 8}.
3Step 3: Identify the range
The range is the set of all 'y' values. In this case, the range is {5, 7, 8}.
Other exercises in this chapter
Problem 1
Complete the square for binomial. Then factor the resulting perfect square trinomial. \(x^{2}+10 x\)
View solution Problem 1
Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$x^{2}=16$$
View solution Problem 2
Determine if the parabola whose equation is given opens upward or downward. $$y=x^{2}-6 x+5$$
View solution Problem 2
Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$x^{2}+7 x+10=0$$
View solution