Give the domain and range of the function.
-$f(x)=x^{3}+5$
A) Domain: $(-\infty, \infty)$; range: $(-\infty, \infty)$
B) Domain: $(-5, \infty)$; range: $(-\infty, 5)$
C) Domain: $(-\infty, \infty)$; range: $(-\infty, 0)$
D) Domain: $(0, \infty)$; range: $(-\infty, \infty)$

Question

Quizplus · Accepted Answer

The function $f(x)=x^{3}+5$ is a cubic polynomial, which means it can take any real number as an input, giving it a domain of $(-\infty, \infty)$. Since cubic functions continue indefinitely in both the positive and negative directions, the range is also $(-\infty, \infty)$.

Give the Domain and Range of the Function f(x)=x3+5f(x)=x^{3}+5f(x)=x3+5 A) Domain (−∞,∞)(-\infty, \infty)(−∞,∞)

Give the Domain and Range of the Function $f(x)=x^{3}+5$ A) Domain $(-\infty, \infty)$