4. 0.33/1 points details my graph y = sin⁻¹(x).
4. 0.33/1 points details my graph y = sin⁻¹(x).
Answer
Explanation:
Step1: Recall domain and range
The domain of $y = \sin^{-1}(x)$ is $[-1,1]$ and the range is $\left[-\frac{\pi}{2},\frac{\pi}{2}\right]$.
Step2: Identify key - points
When $x=-1$, $y =-\frac{\pi}{2}$; when $x = 0$, $y=0$; when $x = 1$, $y=\frac{\pi}{2}$.
Step3: Sketch the graph
The graph of $y=\sin^{-1}(x)$ is a smooth curve passing through the points $(-1,-\frac{\pi}{2})$, $(0,0)$ and $(1,\frac{\pi}{2})$ within the domain $x\in[-1,1]$.
Answer:
Sketch a smooth curve passing through $(-1,-\frac{\pi}{2})$, $(0,0)$ and $(1,\frac{\pi}{2})$ with domain $[-1,1]$ and range $\left[-\frac{\pi}{2},\frac{\pi}{2}\right]$.