Find The Domain And Range Of The Function Y 1 2 Sin3x

Add to both sides of the inequality.

Find the domain and range of the function y 1 2 sin3x. Find the domain and range of the function latex f latex whose graph is shown in figure 9. So sin3x belongs to 1 1. 1 2 sin 3x 3. The input quantity along the horizontal axis is years which we represent with the variable latex t latex for time.

Set the radicand in greater than or equal to to find where the expression is defined. Energy information administration solution. The sine function is defined over all real numbers so the only remaining concern would be division by zero 1 sin 3x 1 1 sin 3x 1. Which means domain of f x is r set of all real no s.

I will suppose so. The denominator is greater than zero for all real x so the domain of the function is all real numbers. 1 3 1 2 sin 3x. Modification of work by the u s.

The domain is all values of that make the expression defined. Therefore 2 sin3x 0 for all real x. Domain range functions even and odd functions. 1 2 sin 3x 3.

Click here to get an answer to your question find the domain the range of the function y 1 2 sin3x y 1 2 sin3x. Then plug that answer into the function to find the range. Given f x 1 2 sin3x 1 we know sinp belongs to 1 1 for all real p. To properly notate the range write out the numbers in brackets if they re included in the domain or in parenthesis if they re not included in the domain.

To find the range of a function first find the x value and y value of the vertex using the formula x b 2a.