The range of the function, f(x)=4x+2 for the domain {–2, –1, 1, 4} includes (-6, -2, 6, 18).
The range of the function, f(x)=4x+2, includes all the possible output values of the function.
The domain of a function, f(x)=4x+2, is the set of all possible input values (domain {–2, –1, 1, 4}) of the function.
Remember that a function is a mathematical expression that equates an independent variable with a dependent variable.
f(x)=4x+2
Domain = {–2, –1, 1, 4}
The range for -2:
f(x)=4x+2 = 4(–2) + 2 = -6
Range for -1:
f(x)=4x+2 = 4(–1) + 2 = -2
Range for 1:
f(x)=4x+2 = 4(1) + 2 = 6
The range for 4:
f(x)=4x+2 = 4(4) + 2 = 18
Thus, the range of the function, f(x)=4x+2 for the domain {–2, –1, 1, 4} includes (-6, -2, 6, 18).
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