Question

Find the range of the function for the domain {−3, 1, 4.5}. f(x) = 2x2

Answer 1

The range of the function for the given domain {-3, 1, 4.5} is {2, 18, 40.5}.

Step-by-step explanation:

The range of a function represents the set of all possible output values of the function. To find the range of the given function f(x) = 2x² for the given domain {-3, 1, 4.5}, we need to evaluate the function for each input value and determine the corresponding outputs. Plugging in -3, 1, and 4.5 into the function, we get f(-3) = 18, f(1) = 2, and f(4.5) = 40.5. Therefore, the range of the function for the given domain is {2, 18, 40.5}.

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Answer 2

{2, 18, 40.5}

Step-by-step explanation:

Only 3 x-values are given here: {-3, 1, 4.5}. We will find the corresponding y values using the function f(x) = 2x^2:

f(-3) = 2(-3)^2 = 18

f(1) = 2(1)^2 = 2

f(4.5) = 2(4.5)^2 = 40.5

Thus, the range corresponding to domain {-3, 1, 4.5} is {2, 18, 40.5}.