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Mathematics 21 Online
OpenStudy (cloverracer):

algebra II question, please help!

OpenStudy (cloverracer):

OpenStudy (mathmale):

This function repeats itself after how many units along the x-axis?

OpenStudy (cloverracer):

5 or 6 times

OpenStudy (cloverracer):

I was thinking 0.5;2

OpenStudy (mathmale):

Let me paraphrase my first question: What do you think the period of this function is, and why? How did you decide that the amplitude is 1/2?

OpenStudy (cloverracer):

I think the period of this function is 2 because the top of the "hills" reach the x axis every 2 spaces. I think the amplitude is 1/2 because it crosses through half a square.

jimthompson5910 (jim_thompson5910):

`I was thinking 0.5;2` @CloverRacer you mixed up the period and amplitude. They're asking for the period first. So if you say the period is 2, then 2 should be the first value listed.

OpenStudy (cloverracer):

ohh okay so it would be 2;0.5 since the period is 2 and the amplitude is 0.5?

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

a good way to find the amplitude is to follow these steps step 1) subtract the y coordinates of the min and max point. So -1 - 0 = -1. Take the absolute value to get |-1| = 1. The distance from the peak to the valley is 1 unit step 2) take half of the result from step 1. So we take half of 1 to get 1/2 = 0.5, which is the amplitude. It is equal to the distance from the center to the peak. It is equal to the distance from the center to the valley floor.

OpenStudy (cloverracer):

alrighty sounds simpler now!

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