Final answer:
By substituting each value from the domain {1,2,3,4} in the function g(x)=3x+1, we get the range of the function which is {4, 7, 10, 13}.
Step-by-step explanation:
The range of a function can be determined by substituting each value from the domain into the equation and noting the outcome. In this scenario, g(x)=3x+1 is the function and the domain is {1,2,3,4}. We solve the function for each value in the domain, which results in the following:
- g(1) = 3(1) + 1 = 4
- g(2) = 3(2) + 1 = 7
- g(3) = 3(3) + 1 = 10
- g(4) = 3(4) + 1 = 13
Therefore, the range of the function g(x) over the domain {1,2,3,4} is {4, 7, 10, 13}.
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