Question

What are the domain and range of the function?

f(x)=−3x√




Domain: (−∞, 0]

Range: ​ (−∞, 0] ​




Domain: [3, ∞)

Range: (−∞, ∞)




Domain: ​ [0, ∞) ​

Range: [0, ∞)




Domain: [0, ∞)

Range: (−∞, 0]

Answer 1

see below

Explanation:

The square root function produces a non-negative output for a non-negative input. When its output is negated, it produces a non-positive output for a non-negative input.

The input (domain) is from 0 to infinity: [0, ∞).

The output (range) is from negative infinity to zero: (-∞, 0].

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A graph of the function is included for your convenience.