M Unit 1 Assessment: Characteristics of Functions (Due )

Last updated about 2 hours ago

8 questions

Required

M Unit 1 Assessment: Characteristics of Functions (Due )

Last updated about 2 hours ago

8 questions

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.

Required

Describe the domain of this function.

In interval or inequality notation:
_______ 


Describe the range of this function.

In interval or inequality notation:
_______ 

Required

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

Required

Solve this absolute Value equation:
6|2n - 1| – 3 = 21 
+ Case
_______ 
- Case
_______ 

Required

Solve and graph the compound inequality for the given variable.

Solution in interval or inequality notation:
_______

Required

Solve and graph.

+ Case
_______ 

- Case
_______

Required

Solve and graph.

+ Case
_______ 

- Case
_______

Required

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  _______.

Required

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.