A set of input values is sometimes referred to as the replacement set for the independent variables. Evaluate each function for the given replacement set.
f(x)=3x-6;{-3.5,-1,1/4,2,11}
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f(-3) = 3 (-3) -6 = -9 - 6 = -15
f(5) = 3 (5) - 6 = 15 - 6 = 9
etc
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To evaluate the function f(x) = 3x - 6 for the given replacement set {-3.5, -1, 1/4, 2, 11}, you need to substitute each value from the replacement set into the function and perform the calculations.
Let's start by evaluating f(x) for -3.5:
f(-3.5) = 3(-3.5) - 6
= -10.5 - 6
= -16.5
Next, evaluate f(x) for -1:
f(-1) = 3(-1) - 6
= -3 - 6
= -9
Then, evaluate f(x) for 1/4:
f(1/4) = 3(1/4) - 6
= 0.75 - 6
= -5.25
Continue by evaluating f(x) for 2:
f(2) = 3(2) - 6
= 6 - 6
= 0
Finally, evaluate f(x) for 11:
f(11) = 3(11) - 6
= 33 - 6
= 27
Therefore, the values of the function f(x) = 3x - 6 for the replacement set {-3.5, -1, 1/4, 2, 11} are:
{-16.5, -9, -5.25, 0, 27}