Q16. - Algebra 1

Question

Graph each function.  

 

$f\left(x\right)=\left|x-1\right|$

Step-by-Step Solution

Answer

The required graph is represented by

Step 1. Determine the point where the graph of the provided function is travelling through the vertical axis.

Substitute 0 in place of x into the provided function to get the required point.

 

$$\begin{gathered} f\left(0\right)=\left|0-1\right| \\ =1 \end{gathered}$$

 

So the point is represented by $\left(0,1\right)$.

Step 2. Take the help of the obtained point.

Take the help of obtained point and sketch the graphical representation of the provided function and the graph will travel only in positive area of vertical axis.

Step 3. Write the conclusion.

The obtained graph is completely defining the provided function so it is required graph.