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How do you find the domain and range of #y = 2x^3 + 8#?

Answer 1

Range: #[-oo, oo]#
Domain: #[-oo, oo]#

Range: How BIG can #y# be? How SMALL can #y# be? Because the cube of a negative number is negative and the cube of a positive number is positive, #y# has no limits; therefore, the range is #[-oo, oo]#.

Domain: How BIG can #x# be so that the function is always defined? How SMALL can #x# be so that the function is always defined? Note that this function is never undefined because there is no variable in the denominator. #y# is continuous for all values of #x#; therefore, the domain is #[-oo, oo]#.

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Answer 2

Genesis Allen

Domain: All real numbers Range: All real numbers

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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.