Solve and graph the compound inequality for the given variable.
Solution in interval or inequality notation:
Describe the domain of this function.
In interval notation:
As an Inequality:
Describe the range of this function.
In interval notation:
As an Inequality:
If you can not find these symbols:
≤ ≥ ∞
For what interval of x is the function f(x) decreasing?
If you can not find these symbols:
≤ ≥ ∞
Solve this absolute Value equation:
5|2n - 4| + 3 = 33
+ 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
a) Graph the absolute function below:
y= - |x+4|+2
b) Describe how it compares to the parent function y=|x|:
Opens (Upward or Downward)
Horizontal Shift (write none if there is none)
Vertical Shift (write none if there is none)
c) What is the Vertex of the absolute value equation you graphed?
For what interval of x is the function f(x) increasing?
If you can not find these symbols:
≤ ≥ ∞
Use the graph to create a function with the following features:
1) As x gets smaller; the function approaches positive 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 -3
4) The graph of the function passes though the y-axis at y=4