Find the range of the function for the given domain.
f(x)equals
4xplus6;
StartSet negative 2 comma negative 1 comma 0 comma 1 comma 2 EndSet
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Part 1
What is the range? Choose the correct answer below.
A.StartSet negative 2 comma 3 comma 6 comma 11 comma 14 EndSet
StartSet negative 2 comma 3 comma 6 comma 11 comma 14 EndSet
B.StartSet negative 3 comma 2 comma 6 comma 10 comma 15 EndSet
StartSet negative 3 comma 2 comma 6 comma 10 comma 15 EndSet
C.StartSet negative 2 comma 3 comma 5 comma 11 comma 14 EndSet
StartSet negative 2 comma 3 comma 5 comma 11 comma 14 EndSet
D.StartSet negative 2 comma 2 comma 6 comma 10 comma 14 EndSet
StartSet negative 2 comma 2 comma 6 comma 10 comma 14 EndSet
To find the range of the function f(x) = 4x + 6 for a given domain, we need to evaluate the function for each value in the domain set and then list the results.
Given domain: {-2, -1, 0, 1, 2}
Now let's calculate the function value for each domain element:
1. f(-2) = 4(-2) + 6 = -8 + 6 = -2
2. f(-1) = 4(-1) + 6 = -4 + 6 = 2
3. f(0) = 4(0) + 6 = 0 + 6 = 6
4. f(1) = 4(1) + 6 = 4 + 6 = 10
5. f(2) = 4(2) + 6 = 8 + 6 = 14
Now we list the values we obtained:
Range: {-2, 2, 6, 10, 14}
The correct answer that matches this set is:
D. {-2, 2, 6, 10, 14}