Which is an x-intercept of the graph of the function y=cot(3x)

x-intercept of the graph of the function is,

Step-by-step explanation:

Given the function:                        ......[1]

x-intercept defined as the graph crosses the x-axis.

Substitute value of y = 0 in [1] and solve for x;

or

Take the inverse cotangent of both sides of the equation and solve for x;

3x = arccot (0)

We know the exact value of

then;

Divide both sides by 3 we get;

Since, the cotangent function is positive in the first and third quadrants.

The period of the function is so values will repeat every  radians in both directions.

we have;

Therefore, the x-intercept of the graph of the function  is ;

 for every integer n;

the range is 19

step-by-step explanation:

the range is biggest number minus the smallest, so in this case it would be

41 - 22 = 19