Make-up Unit 1 Assessment: Characteristics of Functions

Last updated about 2 hours ago

9 questions

Required

Make-up Unit 1 Assessment: Characteristics of Functions

Last updated about 2 hours ago

9 questions

Required

Describe the domain of this function.

In interval notation:
_______ 
In inequality notation:
_______ 

Describe the range of this function.

In interval notation:
_______ 

In inequality notation:
_______ 

Required

For what interval of x is the function f(x) increasing?
_______ U _______ 

If you can not find these symbols:
≤              ≥              ∞

Required

For what interval of x is the function f(x) decreasing?
 _______

If you can not find these symbols:
≤              ≥              ∞

Required

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 2
4) The graph of the function passes though the y-axis at -4

Required

Solve this absolute Value equation:
6|2n - 3| + 3 = 45
+ Case
_______ 
- Case
_______ 

Required

Solve and graph the compound inequality for the given variable.

-28 ≤ 2(4x+2) < 44

Solution in interval or inequality notation:
_______

Required

Solve and graph.


+ Case
_______ 

- Case
_______  

Required

Solve and graph.

4|𝑥−8|−4 ≥ 24


+ Case
_______ 

- Case
_______  

Required

What are the critical values of this absolute value function:




Opens (upward or downward)
_______ 
Axis of Symmetry
_______ 
Horizontal Shift (write none if there is none)
_______ 
Vertical Shift (write none if there is none)
_______ 
What is the Vertex of the absolute value equation you graphed?
_______ 


2) Use the critical values of this equation to graph it.