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Debrief Unit 1 Assessment: Characteristics of Functions (Due 11/3/2025) (11/7/2025)

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9 questions
Required
20
Required
20
Required
20
Required
20
Required
8

Per 1 Unit 1 Assessment: Characteristics of Functions (Due 11/3/2025)

Characteristics of Functions

Required
20
Question 1
1.
Required
10
Required
10
Required
20
Question 5
5.
Solve this absolute Value equation:
5|2n - 4| + 3 = 33
+ Case
_______
- Case
_______
Question 6
6.
Solve and graph the compound inequality for the given variable.



Solution in interval or inequality notation:
_______
Question 7
7.
Solve and graph.


+ Case
_______

- Case
_______
Question 8
8.
Solve and graph.


+ Case
_______

- Case
_______
Question 9
9.
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?
_______
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:
≤ ≥ ∞
Question 2
2.
For what interval of x is the function f(x) decreasing?
_______ U_______

If you can not find these symbols:
≤ ≥ ∞
Question 3
3.
For what interval of x is the function f(x) increasing?

_______
If you can not find these symbols:
≤ ≥ ∞
Question 4
4.

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