Graph the function on your calculator to determine the domain and range from the graph.
-$$g ( x ) = 4 \cos x$$
A) Domain: $( - \infty , \infty )$; range: $[ - 1,1 ]$
B) Domain: $[ - 4,4 ]$; range: $( - \infty , \infty )$
C) Domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$
D) Domain: $( - \infty , \infty )$; range: $[ - 4,4 ]$

Question

Quizplus · Accepted Answer

The cosine function, $g(x) = 4\cos(x)$, can accept any real number as input, which means its domain is all real numbers $(-\infty, \infty)$. The range of the cosine function is $[-1, 1]$, but because it is multiplied by 4, the range is scaled to $[-4, 4]$.

Graph the Function on Your Calculator to Determine the Domain g(x)=4cos⁡xg ( x ) = 4 \cos xg(x)=4cosx

Graph the Function on Your Calculator to Determine the Domain $g ( x ) = 4 \cos x$