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Problem 14 Easy Difficulty

Graph the function for one period. Specify the amplitude, period, $x$ -intercepts, and interval(s) on which the function is increasing.
$$y=1-\cos (\pi x / 3)$$

Answer

$y=\cos \frac{\pi}{3} x-1$

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Top Algebra Educators
GH
Grace H.

Numerade Educator

Catherine R.

Missouri State University

Alayna H.

McMaster University

Michael J.

Idaho State University

Video Transcript

so we have. Ah, white is equal to one minus coastline Pi X over three. And for things. What's the amplitude of the amplitude is one. The next thing we need to talk about is the period. So the period is two pi divided by pi over three, and that's equal to six. And the next thing is the X intercepts. So there are two X intercepts. Those are X is equal to zero and X is equal to six, and then the function is increasing over the in trouble, starting with excessive 202 where X is equal to three.

Other Schools
Top Algebra Educators
GH
Grace H.

Numerade Educator

Catherine R.

Missouri State University

Alayna H.

McMaster University

Michael J.

Idaho State University