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WorksheetsAlgebra 2 Unit 2 Test Review
Total questions: 95
Worksheet time: 3hrs 51mins
What is the definition of function?
Has inputs and outputs
Every input has only one output
Inputs have different outputs every time
x-values and y-values
Is this mapping diagram a function or not a function?
Function
Not a Function
Is this graph pictured a function?
Yes
No
Is this table a function or not a function?
Function
Not a Function
Is this graph a function or not a function?
Function
Not a Function
Is this graph a function or not a function?
Function
Not a Function
Is this graph a function or not a function?
Function
Not a Function
Is this graph pictured a function?
Yes
No
Is this graph a function or not a function?
Function
Not a Function
Is this mapping diagram a function? Why?
Yes, because the x-value 11 has two y-values pair with it.
Yes, because each x-value has only one y-value paired with it.
No, because the x-value 11 has two y-values pair with it.
No, because each x-value has only one y-value paired with it.
R: {0, 1, 2, -4}
R:{-4, -3, 1}
R:{1, -3, -4}
R: {1, -3, -4, 1}
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
What is the range?
x≥0
y≥0
All real numbers
{0, 1, 2, 3, 4,...}
What is the Domain?
-3 < x ≤ 3
-4 ≤ x < 5
-4 ≤ y ≤ 5
-3 < y ≤ 3
Is this function linear or non-linear?
LInear
Non-linear
Is this function linear or nonlinear?
Linear function
Nonlinear function
What is the definition of a FUNCTION?
Has inputs and outputs
A relation where every input has only ONE output
a relationship between variables
Is this function represented by the table linear or nonlinear?
linear
nonlinear
Does this equation represent a linear or non-linear function?
Linear
Non-Linear
A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the cost y for number of people x?
y = 12.5x + 30
y = 32.5x
y = 30x +12.5
Which graph(s) show nonlinear functions? [Check all that apply]
Graph I
Graph II
Graph III
If the vertex of this graph is (2, -1), what is the axis of symmetry?
x= -1
x = 2
y = -1
x = -2
Find the local maximum and minimum
Local max at x = -3
Local min at x = -3
Local max at x = 1
Local min at x = -3
Local max at x = -3
Local min at x = 1
(−∞, ∞)
Identify the local minimum
x = 8
x = 4
∞
x = 2
Identify the global (or absolute) maximum.
-2
1
∞
−∞
What is the location of the absolute maximum for the graphed function?
x = 1
x = 3
x = 4
x = 5
Does Not Exist
What is the location of the relative maximum within the given interval of the graphed function?
−5≤x≤0x = -4
x = -2
x = 0
x = 3
Does Not Exist
What are the extrema of the graph?
Max = (2, -3), (1, 2)
Min = (-3, -1), (-1, 4)
Max = (-3, -1), (-1, 4)
Min = (2, -3), (1, 2)
Max = (-1, -3), (4, -1)
Min = (-3, 2), (2, 1)
Max = (-3, 2), (2, 1)
Min = (-1, -3), (4, -1)
How many extrema (max and mins) are in the picture?
2
3
4
5
What is the relative max?
x = 0
x = -2.55
(-∞, ∞)
None
Identify the local minimum
x = 8
x = 4
∞
x = 2
How many extrema are there in this graph?
2 max, 2 min
3 max, 2 min
2 man, 3 min
3 increasing intervals, 2 decreasing intervals
2 increasing intervals, 3 decreasing intervals
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
-∞
-∞
+∞
+∞
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
-∞
-∞
+∞
+∞
Describe the end behavior of the graph.
x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞
x → -∞, f(x) → ∞ and x→∞, f(x) →∞
x → -∞, f(x) → ∞ and x→∞, f(x) → 0
x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞
x→ ∞, y→⁻∞
x→⁻∞, y→∞
x→∞, y→⁻∞
4x - 10y = 20
y-int = -10
y-int = 2
y int = -2
y -int = -10
y = 3x + 8
2x + y = 6
What is the increasing interval for the function below?
(−∞,∞)
(−∞,2]
(−∞,6]
(−6,6)
What is/are the increasing interval(s) for the function shown?
(−3, 1)
(4, 8)
(−∞,1) and (−3, 1)
What is/are the increasing interval(s) for the function shown?
(4, 8)
(−3, 1)
(−∞,1) and (−3, 1)
(−∞, 1) and (4, 8)
What is/are the decreasing interval(s) for the function shown?
(2, 4) and (8, ∞)
(−∞, 1) and (8, ∞)
(−∞,1), (−3, 1) and (8, ∞)
(−∞, 1), (2, 4) and (8, ∞)
What is the decreasing interval(s) on the function shown?
(−7, −6) and (−2, 4)
(−7, 0) and (−2, 4)
(−7, −6) and (−2, 0)
(−7, 0) and (4, 5)
What is the increasing interval on the function shown?
(−∞, 1)
(−∞, 2)
(2, ∞)
(1, ∞)
What is the decreasing interval(s) on the function shown?
(−∞, −15) and (9, −15)
(−2, 9) and (2, ∞)
(−∞, −2) and (0, 2)
(−2, 0) and (2, ∞)
Which of the following best describes the continuity at x = 1?
Continuous
Removable Point Discontinuity
Infinite Discontinuity
Jump Discontinuity
Which of the following best describes the continuity at x = 3?
Continuous
Removable Point Discontinuity
Infinite Discontinuity
Jump Discontinuity
Which of the following best describes the continuity at x = -4?
Continuous
Removable Point Discontinuity
Infinite Discontinuity
Jump Discontinuity
Which one of these open intervals is the function discontinuous?
(-5,-4)
(-4,-2)
(-2,0)
(0,1)
Is this function discrete, continuous, or neither?
Discrete
Continuous
Neither
Is this function discrete, continuous, or neither?
Discrete
Continuous
Neither
Is this function discrete, continuous, or neither?
Discrete
Continuous
Neither
Is this function discrete, continuous, or neither?
Discrete
Continuous
Neither
Which of the following graphs presents a removable/hole discontinuity ?
When you sneeze, how fast do the particles from your nose travel?
5 miles per hour
100 miles per hour
1,000 miles per hour
100,000,000 miles per hour
What is the name of the hotel zack and cody lived in?
The Hilton
The tipton
The carlton
The sheraton
What kind of business did the russos own?
An ice cream shop
A candy shop
A dinner
A sandwich station
Who is this?
Ron unstoppable
Wade
Rufus
Ron stoppable
