100 200 300 400 4.3 parent functions 4.4 transformations 4.5 inverse functions 4.6 average rate of...
TRANSCRIPT
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4.3Parent
Functions
4.4Transformations
4.5Inverse
Functions
4.6Average Rate
of Change
Secondary Math 2 4.1/4.2 Functions
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Credits
4.1/4.2 - 100
Answer
State the Domain and Range. Is it a Function?
4.1/4.2 - 200
Answer
State the Domain and Range
4.1/4.2 - 300
Answer
State the Domain and Range
4.1/4.2 - 400
Answer
Using the function machine below, if you input -2, what is the output?
4.1/4.2 - 500
Answer
Given the function
if the Domain is what is the Range?
( ) 3 8f x x 5,0,2
4.1/4.2 - 600
Answer
Given the output of this function is 16, what is the input?
( ) 12f x x
4.1/4.2 - 100 Answer
Answer: D: R: function? NO
State the Domain and Range. Is it a Function?
2,4,5,9
2,0,2,4
4.1/4.2 - 200 Answer
Answer: D: R:
State the Domain and Range
1y
4.1/4.2 - 300 Answer
Answer: D: R:
State the Domain and Range
4 3x 1 6y
4.1/4.2 - 400 Answer
Answer: 3
Using the function machine below, if you input -2, what is the output?
4.1/4.2 - 500 Answer
Answer:
Given the function
if the Domain is what is the Range?
( ) 3 8f x x 5,0,2
2,8,23
4.1/4.2 - 600 Answer
Answer: 4 or -28
Given the output of this function is 16, what is the input?
( ) 12f x x
Answer
What is the Domain and Range of the parent function
3( )f x x
Answer
What is the end behavior of the parent function
( )f x x
Answer
Where is the parent function increasing, decreasing, or constant
2( )f x x
Answer
Is the parent function even, odd, or neither?
3( )f x x
Answer
State the x and y intercepts of the parent function
( ) 2xf x
Answer
Answer: D: R:
What is the Domain and Range of the parent function
3( )f x x
, ,
Answer: rises to the right and rises to the left
What is the end behavior of the parent function
( )f x x
Answer: increasing: decreasing:
Where is the parent function increasing, decreasing, or constant
2( )f x x
(0, ) ,0
Answer: ODD
Is the parent function even, odd, or neither?
3( )f x x
Answer: x – int: none y – int: (0,1)
Answer:
State where the parent function is greater than 0. That is where
( ) 0f x
( )f x x
0,
Answer
Describe the transformations from the parent function 2( )f x x
2( ) ( 2)g x x
Answer
Describe the transformations from the parent function 3( )f x x
3( ) 5g x x
Answer
Describe the transformations from the parent function ( )f x x
( ) 3g x x
Answer
Describe the transformations from the parent function
( ) 3 5g x x
( )f x x
Answer
Describe the transformations from the parent function 2( )f x x
2( ) 8g x x
Answer
Describe the transformations from the parent function 3( )f x x
31( ) ( 3)
2g x x
Answer: shift left 2 units
Describe the transformations from the parent function 2( )f x x
2( ) ( 2)g x x
Answer: shift down 5 units
Describe the transformations from the parent function
3( ) 5g x x
3( )f x x
Answer: vertical stretch of 3
Describe the transformations from the parent function
( ) 3g x x
( )f x x
Answer: shift right 3 units and up 5 units
Describe the transformations from the parent function ( )f x x
( ) 3 5g x x
Answer: reflection over the x-axis followed by a shift up 8 units
Describe the transformations from the parent function 2( )f x x
2( ) 8g x x
Answer: vertical shrink of ½ followed by a reflection over the x-axis and a shift right 3 units
Describe the transformations from the parent function 3( )f x x
31( ) ( 3)
2g x x
4.5 – 100
Answer
If (3,-4) is a point on , then what point is guaranteed to be on ?
( )f x1( )f x
4.5 - 200
Answer
Find the inverse of
( ) 2 1f x x
4.5 – 300
Answer
The graphs of inverse functions are reflections over the line ________.
4.5 - 400
Answer
If the domain of f(x) is then what is the range of ?
2, 1f x
4.5 – 500
Answer
Find the inverse of
3( ) 1f x x
4.5 – 600
Answer
Find the inverse of
State the Domain and Range of the function and its inverse.
( ) 2f x x
4.5 - 100 Answer
Answer: (-4, 3)
If (3,-4) is a point on , then what point is guaranteed to be on ?
( )f x1( )f x
4.5 - 200 Answer
Answer:
Find the inverse of
( ) 2 1f x x
1 1( )
2
xf x
4.5 - 300 Answer
Answer: y = x
The graphs of inverse functions are reflections over the line ________.
4.5 - 400 Answer
Answer:
If the domain of f(x) is then what is the range of ?
2, 1f x
2,
4.5 - 500 Answer
Answer:
Find the inverse of
3( ) 1f x x
1 3( ) 1f x x
4.5 - 600 Answer
Answer: D of f: R of f:
D: R:
1 2 2f x x
2, 0,
0, 2,
4.6 - 100
Answer
What is the average rate of change of
From x = 1 to x = 2
4.6 - 200
Answer
What is the average rate of change of
From x = -2 to x = 2
4.6 - 300
Answer
The path of a golf ball can be modeled by
Where h is the height in feet and t is the time in seconds. What is the average rate of change of the golf ball from 1 sec to 3 sec?
2( ) 16 64h t t t
4.6 - 400
Answer
The path of a golf ball can be modeled by
Where h is the height in feet and t is the time in seconds. What is the average rate of change of the golf ball from 3 sec to 4 sec?
2( ) 16 64h t t t
4.6 - 500
Answer
What does the average rate of change measure?
Use math vocabulary when answering.
4.6 - 600
Answer
The path of a golf ball can be modeled by
Where h is the height in feet and t is the time in seconds. What is the average rate of change of the golf ball from 1 sec to 2 sec?
2( ) 16 64h t t t
4.6 - 100 Answer
Answer: 3
What is the average rate of change of
From x = 1 to x = 2
4.6 - 200 Answer
Answer: 0
What is the average rate of change of
From x = -2 to x = 2
4.6 - 300 Answer
Answer: 0 ft/sec
The path of a golf ball can be modeled by
Where h is the height in feet and t is the time in seconds. What is the average rate of change of the golf ball from 1 sec to 3 sec?
2( ) 16 64h t t t
4.6 - 400 Answer
Answer: -48 ft/sec
The path of a golf ball can be modeled by
Where h is the height in feet and t is the time in seconds. What is the average rate of change of the golf ball from 3 sec to 4 sec?
2( ) 16 64h t t t
4.6 - 500 Answer
Answer: It measures the slope of the secant line between two points.
What does the average rate of change measure?
Use math vocabulary when answering.
4.6 - 600 Answer
Answer: 16 ft/sec
The path of a golf ball can be modeled by
Where h is the height in feet and t is the time in seconds. What is the average rate of change of the golf ball from 1 sec to 2 sec?
2( ) 16 64h t t t