Please help asap! What is the period of the function f(x) shown in the graph?

Mathematics

1 answer:

Serggg [28]3 years ago

4 0

Answer:

8pi

Step-by-step explanation:

A "period" of a function just means the length of one cycle. For a graph, what I usually do is pick one of the crests or troughs (high points or low points) and see how many units it takes for me to get from one crest to the next crest, or one trough to the next trough. But for any problem like this, you just need to pick a point on the curve and figure out how long it takes you to get to the same point on the next wave. Crests and troughs are just easier to follow than any random point in the middle. (Looking up a video about this would probably help you visualize it better.)

In your case, there's a trough at -2pi and another trough at 6pi, so it takes 8pi to get from one to the other. You can double check this by choosing the crest at -6pi and seeing how many units it takes for you to get from -6pi to the next crest at 2pi. Again, the answer is 8pi, so the period of this function will be 8pi.

You might be interested in

Select the correct answer from each drop-down menu. The graphs below show the number of faulty products, y, produced by a compan

BARSIC [14]

Answer:

whats the answers available?

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –y equals negative StartFraction one-third EndFr

DiKsa [7]

Answer:

$y=-\frac{1}{3} x+5$

Step-by-step explanation:

Notice that the answers they give you to choose from are all lines in slope y-intercept form, it would be very simple to just find the answer finding yourself the slope and y-intercept of the line in question.

Since they give you two points $(x_1,y_1)$ and $(x_2,y_2)$ for the line, use them to find the slope of the line that goes through them, with the formula: $slope=\frac{y_2-y_1}{x_2-x_1} =\frac{7-6}{-6-(-3)} =\frac{1}{-3} =-\frac{1}{3}$