3.1-3 Quiz Flashcards
Piecewise Functions
Made up of two or more functions, each with its own domain
Evaluating Piecewise Functions
Find which domain the x-value makes true, then plug the x-value into the corresponding function
Graphing Piecewise Functions
Graph then erase according the the respective domain
Absolute Value Function
Written as f(x)=|x|
Absolute Value Graph
Looks like a V
Turning Point
Called the vertex
Graphing Absolute Values by Table
Place vertex in middle then include values on both sides
Steps to Graphing Absolute Values by Table
1) Find the x-value of the vertex by setting the expression inside the absolute value to 0 and solving
2) Place this value in the middle row of your table and complete the table
3) Graph
Absolute Value Pointing Down
Negative sign in front of absolute value
Using Union
Use union and brackets whenever there is a jump
Steps to Graphing Absolute Value Inequalities
1) Create a table of values with the vertex in the middle row
2) graph using a dashed line for < or > symbols and a solid line for ≤ or ≥ symbols
3) Shade above the line for > or ≥ symbols and below the line for < or ≤ symbols (or test)