What is the domain and range of #f(x) = x^3 + 5#?

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Answer 1 · 2015-08-04T12:26:02

Domain: #(-oo, +oo)#
Range: #(-oo, +oo)#

Your function is defined for any value of #x in RR#, so you have no restrictions on its domain #-># its domain is #(-oo, +oo)#.

The same can be said for its range. The function can take any value in the interval #(-oo, +oo)#.

graph{x^3 + 5 [-8.9, 8.88, -4.396, 4.496]}

Answer 2 · 2015-08-04T12:27:18

Domain and range of #f(x) = x^3 + 5#

graph{x^3 + 5 [-20, 20, -10, 10]}

Domain: (-infinity, +infinity)
Range (-infinity, +infinity)