Our Discord hit 10K members! 🎉 Meet students and ask top educators your questions.Join Here!

Like

Report

Numerade Educator

Like

Report

Problem 9 Easy Difficulty

et the viewing rectangle so that it extends from 0 to $2 \pi$ in the $x$ -direction and from $-4$ to 4 in the $y$ -direction. On the same set of axes, graph the four functions $y=\sin x$ $y=2 \sin x, y=3 \sin x,$ and $y=4 \sin x .$ What is the amplitude in each case? What is the period?

Answer

for $y=\sin x \Rightarrow A=1,$ period $=2 \pi$
for $y=2 \sin x \Rightarrow A=2,$ period $=2 \pi$
for $y=3 \sin x \Rightarrow A=3,$ period $=2 \pi$
for $y=4 \sin x \Rightarrow A=4,$ period $=2 \pi$

Discussion

You must be signed in to discuss.
Top Algebra Educators
Catherine R.

Missouri State University

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

MG
Maria G.

Numerade Educator

Video Transcript

So here are grasp drawn as you could see. So first of all we have why is equal to Sinus And the amplitude for cat is a good one. Then we have why is equal to two sine X and the amplitude is equal to two. Then we have why is equal to three sine x and the amplitude is equal to Sicily. And finally we have wise equal to four sine x and the African for that, as he could to three, is equal to four. And lastly, for all of these functions, the period is equal to two pi.

Other Schools
Top Algebra Educators
Catherine R.

Missouri State University

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

MG
Maria G.

Numerade Educator