Find the domain and range of the function.
-$$f ( x ) = 3 \sin ^ { 2 } x$$
A) Domain: $( - \infty , \infty )$; range: $[ 0,3 ]$
B) Domain: $[ 0,3 ]$; range: $( - \infty , \infty )$
C) Domain: $[ 0 , \infty )$; range: $[ - 3,3 ]$
D) Domain: $( - \infty , \infty )$; range $[ - 3,3 ]$

Question

Quizplus · Accepted Answer

The domain of $f(x) = 3\sin^2x$ is all real numbers because the sine function takes all real numbers as inputs. The range is $[0,3]$ because $\sin^2x$ varies between 0 and 1, and multiplying by 3 scales this interval to [0,3].

Find the Domain and Range of the Function f(x)=3sin⁡2xf ( x ) = 3 \sin ^ { 2 } xf(x)=3sin2x

Find the Domain and Range of the Function $f ( x ) = 3 \sin ^ { 2 } x$