Chapter B, Problem 10E

To determine

To calculate: To sketch the graph of the equation

Answer to Problem 10E

The graph of equation is sketched

Explanation of Solution

Given information: Equation is $\left|y\right|=1$

Calculation:

Equation is given as follows:

  $\left|y\right|=1$

Thus,

  $y=\pm 1$

Finding the points that lie on equation:

Case 1: Consider $y=1$

When $x=0$

  $y=1$

When $x=1$

  $y=1$

When $x=2$

  $y=1$

Thus, $\left(0,1\right),\left(1,1\right),\left(2,1\right)$ are the solution of equation and must lie on the equation.

Case 2: When $y=-1$

When $x=0$

  $y=-1$

When $x=1$

  $y=-1$

When $x=2$

  $y=-1$

Thus, $\left(0,-1\right),\left(1,-1\right),\left(2,-1\right)$ are the solution of equation and must lie on the equation.

Plotting the points on graph,

  y-axis

   x-axis

Conclusion:

Hence, graph of equation is sketched