State the domain and range of the given function
-$f(x)=(x+4)^{2}$
A) Domain: $(-\infty, \infty)$ Range: $(-\infty, \infty)$
B) Domain: $(-\infty, \infty)$ Range: $[0, \infty)$
C) Domain: $(-\infty, \infty)$ Range: $[4, \infty)$
D) Domain: $[-4, \infty)$ Range: $(-\infty, \infty)$

Question

Quizplus · Accepted Answer

The function $f(x)=(x+4)^{2}$ is a quadratic function, which means it can take any real number as an input, hence the domain is $(-\infty, \infty)$. Since it's squared, the output will always be non-negative, starting from 0 when $x=-4$, thus the range is $[0, \infty)$.

State the Domain and Range of the Given Function - f(x)=(x+4)2f(x)=(x+4)^{2}f(x)=(x+4)2

State the Domain and Range of the Given Function
- $f(x)=(x+4)^{2}$