Question

Graphing Regions. Sketch the region given by the set.

$\left\{\right(x,y\left)\right|x^2+y^2\le 1\}$

Short answer

The required graph will be as shown below:

Step-by-step solution

Step 1. Determining the equation. 

The equation $x^2+y^2=1$is the circle equation whose center is (0,0) and radius is 1.

Step 2. Plotting the graph of the equation. 

The equation is $x^2+y^2=1$

Step 3. Shading the region. 

The region is $\left\{\right(x,y\left)\right|x^2+y^2\le 1\}$

So, the circle with center (0,0) radius 1 inside part is the required region.