How do you find the domain and range of y=2x3+8?

1 Answer
Dani W.
Feb 22, 2018

Range: [−∞,∞]
Domain: [−∞,∞]

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 [−∞,∞].

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 [−∞,∞].

Related questions
See all questions in Domain and Range of a Function
Impact of this question
1795 views around the world
You can reuse this answer
Creative Commons License