Final answer:
To find the range of the function f(x)=2x^3-3x+1 with the given domain, substitute the domain values into the function and calculate the corresponding outputs.
Step-by-step explanation:
To find the range of the function, we need to substitute the given values of the domain into the function and calculate the corresponding outputs. Using the formula f(x) = 2x^3 - 3x + 1, we substitute -3, -1, and 4 for x, and calculate the values of f(x) for each.
f(-3) = 2(-3)^3 - 3(-3) + 1 = -49
f(-1) = 2(-1)^3 - 3(-1) + 1 = 2
f(4) = 2(4)^3 - 3(4) + 1 = 99
Therefore, the range of the function for the given domain is {-49, 2, 99}.
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