Identify the Basic Graph: The algebraic expression on the left side of the equation represents a function. What is the shape of the graph of the function ?  

Interpret the Solution(s) Graphically: The graph below was generated by sketching functions from the radical equation . The blue curve is the function  and represents the left side of the equation. The red curve is the function  and represents the right side of the equation. The dotted gold curve is the function . This represents the bottom half of the parabola that is NOT part of the equation. Click on the part of the graph that shows the actual solution to the radical equation .

Set up the Equations: Absolute value represents distance. Absolute value equations separate into two separate equations because we must consider the distance in both the left and right directions.   The equation splits into these two equations: Equation in the left direction:   Equation in the right direction:    

Solve the Quadratic Equation: Since the function on the left side is a 2nd degree trinomial, the equation can be solved by either or . The solution(s) to this quadratic equation are (smaller value) and (larger value). The solutions to the quadratic equation are potential solutions to the square root equation.

Summarize how solution(s) to equations are interpreted graphically.   In any equation, each side of the equation can be represented as an individual . When the two are graphed on the same coordinate axes, the solution(s) are located where the two graphs . The -value(s) of these points is/are the solution(s) to the equation.   When one side of the equation is , the second function is the line y = 0 that is also the . In this situation, the are located directly on the .

Set up the Equations: Absolute value represents distance. Absolute value equations separate into two separate equations because we must consider the distance in both the left and the right directions.    The equation splits into these two equations: Equation in the left direction: Equation in the right direction:    

THE QUESTION BELOW IS A BONUS QUESTION WORTH UP TO 3 BONUS POINTS. Replacement workers are those brought in to take the place of employees who are on strike. Provide two (2) facts about hiring replacement workers.

Third-party dispute resolution mechanisms include: ___________________________.

Work slowdowns are a pressure tactic used by union workers. In a __________________ campaign, the workers do their by following the employer’s rules specifically which can reduce productivity gains.

Companies have the advantage of captive audience meetings (during the campaign), but they must be careful not to Threaten, Intimidate, Promise or ___________.