What is the period of the function f(x) shown in the graph?

Mathematics

1 answer:

algol [13]3 years ago

7 0

Answer:

Period = $\frac{\pi }{2}$

Step-by-step explanation:

The period of the function is the interval of x-values which represents the length of one cycle.

Another meaning The period of the function is the length between two similar points such as the length between two peaks of the function.

AS shown on the graph, the function has peak equal to 3 and repeated every (π/2)

So, the period of the function f(x) shown in the graph = $\frac{\pi }{2}$

You might be interested in

I still don’t understand can someone give a helping hand?

Fofino [41]

Answer:

Step-by-step explanation:

A, B, C, and D, are all functions. the " { " is saying that those functions can are different at different points. For A the function is $A= -x-2$ when $x< 2$ and then $A=x+4$ when $x\geq -2$ . At the point $x=-2$ you can see that the function on the graph is going in two different directions but it stops at $x=-2$ .

Based on the graph you can see that the line on the left has a slope of -1 and if it kept going it would cross the y-axis at $y=-2$ , therefore the equation for the first line is $y =-x-2$ when $x$