State the domain and range of the given function
-$f(x)=-(x-6)^{2}-9$
A) Domain: $(-\infty, \infty)$
Range: $[-9, \infty)$

B) Domain: [ $6, \infty)$
Range: $(-\infty,-9]$

C) Domain: $(-\infty, \infty)$
Range: $(-\infty, \infty)$

D) Domain: $(-\infty, \infty)$
Range: $(-\infty,-9]$

Question

State the domain and range of the given function
-$f(x)=-(x-6)^{2}-9$
A) Domain: $(-\infty, \infty)$
Range: $[-9, \infty)$

B) Domain: [ $6, \infty)$
Range: $(-\infty,-9]$

C) Domain: $(-\infty, \infty)$
Range: $(-\infty, \infty)$

D) Domain: $(-\infty, \infty)$
Range: $(-\infty,-9]$

Quizplus · Accepted Answer

The domain of any polynomial function is all real numbers, so the domain is $(-\infty, \infty)$. The function is a downward-opening parabola with vertex at (6, -9), so the range is $(-\infty, -9]$.

State the Domain and Range of the Given Function - f(x)=−(x−6)2−9f(x)=-(x-6)^{2}-9f(x)=−(x−6)2−9

State the Domain and Range of the Given Function
- $f(x)=-(x-6)^{2}-9$