What is the Range of the function #f(x) = 2 + 10x# if the Domain is {1, 5, 9}?

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Answer 1 · 2017-10-16T15:58:26

See a solution process below:

To find the Range of the function given the Domain in the problem we need to substitute each value in the Range for #x# and calculate the result:

For #x = 1#:

#f(x) = 2 + 10x# becomes:

#f(x) = 2 + (10 xx 1)#

#f(x) = 2 + 10#

#f(x) = 12#

For #x = 5#:

#f(x) = 2 + 10x# becomes:

#f(x) = 2 + (10 xx 5)#

#f(x) = 2 + 50#

#f(x) = 52#

For #x = 9#:

#f(x) = 2 + 10x# becomes:

#f(x) = 2 + (10 xx 9)#

#f(x) = 2 + 90#

#f(x) = 92#

Therefore the Range is #{12, 52, 92}#