How do you graph #f(x) = |2x + 1|#?

The graph of that equation is a mirrored linear equation, that mirrors when the part inside the module function equals 0:

graph{|2x+1| [-10, 10, -5, 5]}

To graph the function ( f(x) = |2x + 1| ), you can follow these steps:

1. Find the critical points by setting the expression inside the absolute value equal to zero: ( 2x + 1 = 0 ).
2. Solve for ( x ) to find the critical point: ( x = -\frac{1}{2} ).
3. Plot the critical point on the x-axis.
4. Choose test points on either side of the critical point and plug them into the function to determine the behavior of the function in those intervals.
5. Plot the points and sketch the graph accordingly, noting that the absolute value function will reflect negative values to positive.

Your graph should resemble a "V" shape with the vertex at the critical point ( x = -\frac{1}{2} ).