What is the range of the function $y = {(x + 3)}^{3} + 3$ $y = (x+3)^3 +3$ ?

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Answer 1 · 2017-07-14T14:24:43

$(- \infty, \infty)$ $(-oo, oo)$

graph{(x+3)^3+3 [-16.8, 11.68, -5.75, 8.49]}

If you graph the function, you can see that the range is all real numbers.

In interval notation, you can write this as $(- \infty, \infty)$ $(-oo, oo)$ .

What is the range of the function y=(x+3)3+3y = (x+3)^3 +3?