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What is the domain and range of # y=-5x^2#?

Answer 1

Isaiah Anthony

#D: x in R, R: y <= 0#

Domain: All x values are acceptable. The range's maximum y value is 0, and all other values fall below the x-axis.

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Answer 2

Nathan Axel

The domain of the function ( y = -5x^2 ) is all real numbers (( x \in \mathbb{R} )) because there are no restrictions on the values ( x ) can take.

The range of the function ( y = -5x^2 ) is all real numbers less than or equal to 0 (( y \leq 0 )) because the function represents a downward-opening parabola that reaches its maximum value at ( y = 0 ).

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Answer 3

Isaiah Anthony

Domain: All real numbers (-∞, ∞) Range: All real numbers less than or equal to 0, including 0 (-∞, 0]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.