Question

Y= 4x + 2 where the domain is the set of all of the positive even numbers less than 10.

Answer 1

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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