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If the domain of the function is restricted to -4 ≤ x ≤ 4, what is the range? Write your answer in set notation.

A. -4 ≤ y ≤ 4
B. y ∈ R
C. y ∈ R
D. y ∈ R

1 Answer

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Final answer:

The range of the function with a restricted domain of -4 ≤ x ≤ 4 is -4 ≤ y ≤ 4.

Step-by-step explanation:

The range of a function is the set of all possible output values, or y-values, that the function can produce for its corresponding input values, or x-values. In this case, the domain of the function is restricted to -4 ≤ x ≤ 4.

Since the function is a horizontal line, the range will be the same for all values of x within the domain. In other words, the range is the set of all possible y-values for which -4 ≤ y ≤ 4.

Therefore, the answer is option A: -4 ≤ y ≤ 4.

User Fabricio Lemos
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