Question

Find the domain, period, range, and amplitude of the cosine function.

y = -6cos4x

Answer 1

\[If\ \ y=A \cos (Bx+C)\]
then the amplitude is |A|
and the period T is given by
\[T=\frac{2 \pi}{B}\]
The range is [-A, A]
The domain is\[x \in R\]

Answer 2

A. domain = ; period = 6; range: ; amplitude =

B. domain = all real numbers; period = ; range: ; amplitude = 6

C. domain = all real numbers; period = ; range: ; amplitude = -6

D. domain = -; period = 6 ; range: ; amplitude =

Answer 3

ohh that didn't work hold on

Answer 4

I have already given you the domain, which is the set of all real numbers. The period value must include pi, so choices A and D can be eliminated. Therefore your choices come down to either B or C.
To find the period, identify the number equivalent to B in the standard form equation. Then plug the number into
\[T=\frac{2 \pi}{B}\]

Answer 5

Okay thank you so much!

Answer 6

You're welcome :)