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43 votes
43 votes
Below is the graph of a trigonometric function. It intersects its midline at (-1.7, -10) and again at(5.1, -10). What is the period

User Bdulac
by
2.8k points

1 Answer

13 votes
13 votes

you can get the Period graphically if you see the points A and B are the upper points of the graph. if you subtract them you get the period

in this case, let me see

Here they give you the points where the graph cross the midline, if you see, that is half of the period, so

Period= 2* (5,1-(-1,7))= 13,6

You have to subtract the points to know the distance between that points, and the graph is

when you subtract the points, you are getting the distance between (for example) the green point on my draw

And the period is the time it takes for one complete oscillation, after this, it repeats over and over

So between 3 of these green points we have a period

to know the value, we need to know the distance between them (in this case (5,1-(-1,7))= 6,8

each square have 1 period on it, and the value is 2 times the distance between the green points

Answer:

Period= 2* (5,1-(-1,7))= 13,6

Below is the graph of a trigonometric function. It intersects its midline at (-1.7, -10) and-example-1
Below is the graph of a trigonometric function. It intersects its midline at (-1.7, -10) and-example-2
Below is the graph of a trigonometric function. It intersects its midline at (-1.7, -10) and-example-3
User Katherin
by
3.0k points
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