Solve and graph the compound inequality for the given variable.
Solution in interval or inequality notation:
This is the Unit assessment covering Unit 1: Characteristics of Functions.
You may use your notes, past assignments, and desmos to complete this assessment.
Complete the entire test and show your work for full credit. Responses without work will receive no points.
Describe the domain of this function.
In interval or inequality notation:
Describe the range of this function.
In interval or inequality notation:
Use the graph to create a function with the following features:
1) As x gets smaller; the function approaches negative infinity. x→ - ∞; f(x)→ -∞
2) As x gets larger; the function approaches positive infinity. x→ ∞; f(x)→ ∞
3) The graph of the function passes through the x-axis at 1.
4) The graph of the function passes though the y-axis at y=-3
Solve this absolute Value equation:
6|2n - 1| – 3 = 21
+ Case
- Case
Solve and graph the compound inequality for the given variable.
Solution in interval or inequality notation:
Solve and graph.
+ Case
- Case
Solve and graph.
+ Case
- Case
How is the absolute function below different than the parent function y=|x|:
y=4|x-4|-2
Opens (Upward or Downward)
Horizontal Shift (write none if there is none)
Vertical Shift (write none if there is none)
Stretched (0<|a|<1), Compressed (|a|>1), or None
What are the critical values of this absolute value function:
Opens (upward or downward)
Axis of Symmetry
Vertex
Slope
2) Use the critical values of this equation to graph it.