Relations and Functions
This word describes a relation where each input, or element in the domain, has exactly one output, or element in the range
What is a function?
This is the grown up way of saying "y"?
What is f(x)?
This type of translation occurs when a linear function is shifted upwards or downwards
What is a horizontal translation?
The is the type of association that occurs when a x and y values on a scatter plot are both increasing
What is a positive association?
This number represents how many y-values are there for each x-value in the function represented by the line y=(1/5)x-4
What is 1?
This is the y intercept in the function f(x)=(5/4)x-12
What is -12?
This type of translation occurs when f(x)=3x, g(x)=f(x)+k, and k=3
What is a vertical translation of 3 units (up 3 units)?
144/12
What is 12?
The type of functiion represented by connected lines and these coordinates {(1,1), (2,2), (3,3), (4,4), 5,5),...}
This is the value of f(-2) in the function f(x)=4x+10
What is 2?
When -1<k<1, this is a description of the effect on f(x) when it is trasnformed to kf(x)
What is a vertical compression by a factor of 1/k?
(3+12)/(100-75)
What is 3/5 or 0.6?
Elijah is keeping track of his baby brother's height at different ages. Name a statement about the relationship
The domain and range are restricted to positive numbers
The relationship is a continuous function until he gets older
Height and age are both constrained over time
Draw the function f(x)= 3x+2
Show answers on whiteboards
Suppose f(x)=3x+5, this description is how the graph of g(x) compares to f when g(x)=f(x+9)
What is a horizontal translation of 9 units to the right?
What is a negative association?
Draw two functions on the board. One being continuous and the other being discreet.
Show answer on the board
This is the function for the following word problem: Aubrey and Charlie are driving to a city that is 300 miles from their house. They have already traveled 30 miles, and they are driving at a constant rate of 30 miles per hour.
What is f(x)=30x+30
This value and location of k transforms the graph of f(x)=0.5x+3 into g(x)=1.5x+9
What is k=1/3 as a multiplied factor by f(x)?
(2+3)2+15x5
What is 100