Question

Y=sinx Can you please give a graph use color for function, asymptotes, etc.A short table of easy pointsThe domain and rangePlease identify and label the asymptotes (Please work this as if you didn’t have a calculator)

Answer 1

Given the function:

`y=\sin x`

We will graph the function using the table between x and y

We will substitute with x with values from 0 to 2π and find the value of y

the value of (2π) is the period of the function (sin x)

the points will be as follows:

`\begin{gathered} x=0\rightarrow y=0 \\ x=(\pi)/(2)\rightarrow y=1 \\ x=\pi\rightarrow y=0 \\ x=(3\pi)/(2)\rightarrow y=-1 \\ x=2\pi\rightarrow y=0 \end{gathered}`

The graph of the function will be as shown in the following figure: