The range of the function y = 4x + 2 where the domain is the set of all of
the positive even numbers less than 10 is {10, 18, 26, 34}
The given equation is:
y = 4x + 2
The domain is the set of all of the positive even numbers less than 10.
That is, x = {2, 4, 6 ,8}
To get the range, find the values of y for x = 2, 4, 6, and 8
For x = 2:
y = 4(2) + 2
y = 8 + 2
y = 10
For x = 4:
y = 4(4) + 2
y = 16 + 2
y = 18
For x = 6:
y = 4(6) + 2
y = 24 + 2
y = 26
For x = 8:
y = 4(8) + 2
y = 32 + 2
y = 34
Therefore, the range = {10, 18, 26, 34}
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