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Unit 1 Assessment: Characteristics of Functions (11/3/2023) per 6
By James Parson
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8 questions
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Question 1
1.
Describe the
domain
of this function.
In interval or inequality notation:
_______
Describe the
range
of this function.
In interval or inequality notation:
_______
visibility
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Question 2
2.
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
visibility
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Question 3
3.
Solve this absolute Value equation:
5|2n - 4| + 3 = 33
+ Case
_______
- Case
_______
visibility
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Question 4
4.
Solve and graph
the compound inequality for the given variable.
Solution in
interval
or
inequality
notation:
_______
visibility
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Question 5
5.
Solve and graph.
+ Case
_______
- Case
_______
visibility
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Question 6
6.
Solve and graph.
+ Case
_______
- Case
_______
visibility
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Question 7
7.
How is the absolute function below different than the parent function
y=|x|
:
y=-3|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 _______.
Question 8
8.
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.
visibility
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