Question

Write an equation involving absolute value for each graph.

Short answer

The absolute value equation will be $\left|x-0.25\right|=0.25$.

Step-by-step solution

Step-1. Define absolute value equation.

For any real numbers a and b, if$\left|a\right|=b$ and $b\ge 0$, then$a=b$ or $a=-b$.

Step-2. Find the mid-point of points 0 and 0.5.

To find the point midway between two points 0 and 0.5, add the two values and divide by 2.

$\begin{array}{c}\text{Midpoint}=\frac{0+0.5}{2}\\ =\frac{0.5}{2}\\ =0.25\end{array}$

Step-3. Write the equation.

Since, the midpoint of 0 and 0.5 is 0.25, that is, the distance from 0 to 0.25 is 0.25 units and the distance from 0.25 to 0.5 is also 0.25 units.

So, the absolute value equation will be: $\left|x-0.25\right|=0.25$.