Unit 2 Functions: Quick Questions
QUESTION
Name: ____________________________
ANSWER A
ANSWER B
1
A graph represents a function if it passes the:
Horizontal line test
Vertical line test
2
A table represents a function if the x-values:
Repeat
Do not repeat
3
A relation is a function if every input
Has more than one output
Has exactly one output
4
A function has an inverse if:
The x-values do not repeat
It passes the horizontal line
test
5
A function and its inverse will be reflected over:
The line y=x
The x-axis
6
A relative minimum can be smaller than the absolute
minimum.
True
False
7
A zero is:
An x-intercept
A y-intercept
8
What does y = 10 look like?
A point
A horizontal line
9
A continuous graph:
Has arrows at the ends of it
Has no breaks in it
10
“All real numbers except 5” in interval notation:
11
Definition: An asymptote is…
12
When you read a graph, you read it from
13
When looking for intervals of increasing and
decreasing, you must RECORD
14
As x ® + ¥ then f (x) ®- ¥ refers to the
_____ side of the graph:
( -¥ , ¥ ),
¹5
( -¥ , 5)
È (5, ¥ )
A vertical line
A line that the graph
approaches
Left to right
Right to left
x
y
Left
Right
Up
Down
As x ® + ¥ then f (x) ® ¥
As x ® - ¥ then f (x) ® -¥
15
Which way is the right side going?
1. Which function of x appears to have three distinct real solutions? Remember…another word for
"solution" is ____________________.
2. Use your calculator to graph y = 𝒙𝟑 + 𝟔𝒙𝟐 + 𝟗𝒙
End behavior:
As x  _____, f (x)  _____. As x  _____, f (x)  _____.
Relative minimum/maximum?
Absolute minimum/maximum?
Zeros?
Y-intercept?
3. What is the domain and range of the
function below?
4. Sketch the inverse of the function
shown below, using three points from the
graph.
What is the domain?
Interval notation:
_________________________
Inequality notation: _________________________
What is the range?
Interval notation:
_________________________
Inequality notation: _________________________
What are the zeros?
_________________________________________________
Is the Inverse a function? _________________________
Turning points:
_________________________
Relative min/max: _________________________
Absolute min/max: _________________________
Increasing interval(s): _________________________
Decreasing interval(s): _________________________
What is the domain?
Interval notation:
_________________________
Inequality notation: _________________________
What is the range?
Interval notation:
_________________________
Inequality notation: _________________________
What is the type of discontinuity?
_________________________________________________
What is the domain in interval notation?
What is the range in interval notation?
________________________________________________________
What are the zeros?
_________________________________________________
Relative min/max: _________________________
Absolute min/max: _________________________
Increasing interval(s): _________________________
End behavior:
As 𝑥 → −∞, 𝑓(𝑥) → ________________
As 𝑥 → +∞, 𝑓(𝑥) → ________________
End behavior:
As 𝑥 → −∞, 𝑓(𝑥) → ________________
As 𝑥 → +∞, 𝑓(𝑥) → ________________
What is the domain in interval notation?
What is the range in interval notation?
What are the zeros?
Y – intercept?
//
Relative min:
_________________________
Relative max:
_________________________