Answer: {7, 11, 15, 19}
Write the values in the order shown. The curly braces indicate a set.
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Step-by-step explanation:
The replacement set for the independent variable is {2,4,6,8}
This means we'll plug x = 2, x = 4, x = 6, and x = 8 into the function one at a time to find the corresponding y = f(x) value.
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Plug in x = 2 to find that,
f(x) = 2x+3
f(2) = 2*2+3 ... replace every x with 2
f(2) = 4+3
f(2) = 7
If the input is x = 2, then the output is y = 7. Therefore, the '2' in the domain corresponds to '7' in the range.
If you repeat those steps for x = 4, then you should find that f(4) = 11. Do the same thing for x = 6 and it should lead to y = 15. The last value in the range is y = 19 which corresponds to x = 8.
In short, the domain {2,4,6,8} corresponds to the range {7, 11, 15, 19}
Usually with sets, order doesn't matter. However, in this case, the order is important because we need to match the 2 with the 7, the 4 with the 11, etc.