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

1 Answer
Dani W.
Feb 22, 2018

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

Explanation:

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].

Related questions
See all questions in Domain and Range of a Function
Impact of this question
1792 views around the world
You can reuse this answer
Creative Commons License