Transformations
Average Rate of Change
Domain/Range
Discrete/Continuous
Piecewise Functions
100
Identify the Transformation for the parent function f(x)=x2 to g(x)=x2 + 3
What is up 3
100
What is the average rate of change of (1,12) and (4,48)?
What is 9
100
What is the domain?
What is (-inf,inf)
100
When given a table, the date is always....
What is discrete
100
What is f(1)?
What is -2
200
Identify the Transformation for the parent function f(x)=x2 to g(x)=(x-7)2 - 2
What is right 7 and down 2
200
What is the average rate of change of (-1,13) and (4,-72)?
What is -17
200
Find the range
What is [0,inf)
200
What makes a graph continuous?
When you can trace your graph without lifting your pencil
200
What is f(9)?
What is 37
300
Identify the Transformation for the parent function f(x)=|x| to g(x)=3|x|
What is a vertical stretch 3 units
300
What is the average rate of change of (13,108) and (-7,-12)?
What is 6?
300
What is the domain and range?
What is
Domain: (-8,7]
Range: [-10,0)
300
Brandon is reserving rooms for $45 a night (yikes) for his football team. He will need 14-16 rooms. Continuous or Discrete? Why?
What is Discrete because you can't book 1/2 a room
300
What is f(5)?
What is -4
400
Identify the Transformation for the parent function f(x)=|x| to g(x)= -|2x| + 3
What is a reflection over the x-axis, horizontal compression, and up 3
400
What is the average rate of change of [1,3] given:
| x | y |
|1 | 4 |
|2 | 7 |
|3 | 12 |
|4 | 20 |
What is 4?
400
Where is the graph increasing?
What is (-inf,2)
400
A 50 gallon pool is filling up at 5 gallons per minute. Continuous or Discrete? Why?
What is Continuous because the pool will hit every partial
400
What is f(-1)?
What is 1
500
Identify the Transformation for the parent function f(x)=x2 to g(x)= 7(-x+3)2 + 5
What is a vertical stretch by 7 units, reflection over the y-axis, left 3 units, and up 5 units
500
Given f(x) = 4x + 3, what is the average rate of change of the interval [4,7]?
What is 4
500
Give all intervals of the graph.
I.e. Increasing, Decreasing, and Constant
What is
Increasing: (-inf,-2) and (2,3)
Decreasing: (3,5)
Constant: (-2,2)
500
Your grade throughout the semester is Continuous or Discrete?
What is Discrete because it will not hit every partial
500
What is f(-12)
What is Undefined