Relations & Functions
This term describes a set of ordered pairs.
What is a relation?
This type of function forms a straight line when graphed.
What is a linear function?
This is the rate of change of y = −3x + 2.
What is -3?
This is the slope of the line passing through (0.5, 4.25) and (2, 18.5).
What is 9.5?
When y-values increase as x-values increase, the function is this.
What is increasing?
This type of relation gives each input exactly one output.
What is function?
Mark starts with $100 and spends $4.99 each week. This is the equation that models the amount left after x weeks.
What is y = 100 − 4.99x or y=-4.99x+100?
Function B has y-values −1, 1, 3, 5 when x increases by 1. This is its rate of change.
What is 2?
What is y = 9.5x − 0.5?
When y-values decrease as x-values increase, the function is this.
What is decreasing?
Given inputs 2, 4, 6, 8, 10 and outputs 1, 2, 3, 4, 3, this describes the relation.
What is function?
In the equation y = 10x + 8, this number represents the initial value.
What is 8?
Between Function A (slope −3) and Function B (slope 2), this function has the greater rate of change.
What is function b?
A graph shows water draining steadily from 90 gallons to 0 gallons in 9 minutes. This is the rate of change.
What is −10 gallons per minute?
On the airplane altitude graph, the flat (horizontal) sections represent this type of interval.
What is constant?
In the relation { (−5, −3), (7, 2), (3, 8), (3, −8), (5, 10) }, this input makes it not a function.
What is 3?
In the equation y = 100 − 4.99x, this number represents the rate of change.
What is -4.99?
In y = mx + b, this letter represents the initial value.
What is b?
A graph shows water draining steadily from 90 gallons to 0 gallons in 9 minutes. What is the initial value of this graph?
What is 90 gallons?
On the airplane graph, the last interval where altitude drops represents this behavior.
What is decreasing?
{ (−5, −3), (7, 2), (3, 8), (3, −8), (5, 10) }
Why is the relation above is not a function.
What is one input has two different outputs?
Using the equation y = 100 − 4.99x, after 10 weeks approximately how much money remains on Mark’s card?
What is about $50.10?
If two functions both have an initial value of 5, what is their y-intercept?
A graph shows water draining steadily from 90 gallons to 0 gallons in 9 minutes. What is the equation that represents this situation?
What is y = −10x + 90?
A horizontal line on a graph always indicates this rate of change.
What is zero?