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The graph of a periodic function f is shown below:

What is the period of this function?

1.57

Preview

What is the amplitude of this function?

Preview

Write function formula for f- (Enter “theta’ for 0.)

f(e)

2((Zpi)(1.57Jtheta)

Previen

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01:08

Graph the function. Does the function appear to be periodic? If so, what is the period?$$f(t)=\cos |t|$$

04:01

For the graphs below, determine the amplitude, midline, and period, then find a formula for the function.

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00:33

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Transcript

Okay, so I am going to write a function formula for this graph. Half of data first. I’m going to identify it as a cosine curve. And you can see I just kind of drew a piece of this curve right here. I didn’t draw the whole thing. That’s because this is all I need. You see what I’m tracing in blue. This is one full Kassian period. So I know this function is going to be a cosine curve. I know the amplitude of this graph is too and that’s the highest point that the curve reaches. Thanks. I know the period of this graph Is 1.57 because from 0 to 1.7 on the X-axis, that’s as far as I need to go to see this whole curve. So how do I take this information and turn that into a function? Well, you have to remember what makes up the function. So if I have this general function, Kassian acts the A the number in front. That’s where the amplitude goes. That’s what you’re multiplying the function by B is the frequency and frequency is how fast the graph goes. If you recall period equals two pi over…

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