Solving Absolute Value Equations with Graphs

What is the first step in solving an absolute value function graphically?

• Reflect the negative values to positive values

• Find the points of intersection directly

• Graph the left side and the right side of the equation as two separate graphs

• Graph the entire equation as one graph

Where does the graph of y = |2x| start?

• (0, 2)

• (2, 0)

• (0, 0)

• (2, 2)

What do you do with the negative values in an absolute value graph?

• Leave them as they are

• Reflect them to positive values

• Erase them

• Ignore them

What is the equation of the second graph drawn in the example?

• y = 4

• y = 2x

• y = |2x|

• y = x + 4

How do you find the solutions to the equations graphically?

• By drawing a horizontal line

• By reflecting the negative values

• By finding the points where the graphs intersect

• By finding the slope of the graphs

What are the solutions for the equation y = |2x| and y = 4?

• x = -2 and x = 2

• x = -4 and x = 4

• x = -3 and x = 3

• x = -1 and x = 1

What is the more challenging function graphed in the example?

• y = |2x - 4| and y = 2

• y = |2x + 4| and y = 2

• y = |2x - 2| and y = 4

• y = |2x + 2| and y = 4

What is the slope used for the graph of y = |2x - 4|?

• 1

• 2

• 3

• 4

What are the points of intersection for the graphs y = |2x - 4| and y = 2?

• x = 0 and x = 2

• x = -2 and x = 2

• x = 1 and x = 3

• x = -1 and x = 1

What type of functions can this method of solving be applied to?

• Only quadratic functions

• Only linear functions

• Neither linear nor quadratic functions

• Both linear and quadratic functions