Relations & Functions
Representations of Functions
Modeling Functions
Graphs of Functions
Misc.
100
What is the definition of a function?
Your answer must include the following vocabulary words: input, output
A relationship where every input has exactly one output.
100
How can you use a graph to determine that a relationship is NOT a function?
If the graph fails the vertical line test it is NOT a function.
100
What is the initial value of all linear functions that show a proportional relationship?
y = 0
100
Identify all intervals over which the following function is increasing:
1, 3 and 6
100
What is Mrs. Strutz' sons name?
Christopher
200
What is the definition of a relation?
A set of ordered pairs (x,y).
200
Do the ordered pairs of a function have to be connected by a straight line on a graph to be considered a function? (YES or NO answer).
NO
200
An online clothing company sells sweatshirts. The company charges $6.50 for each sweatshirt and a flat $3.99 fee for shipping.
Write a linear function in slope-intercept form that represents the total cost, y, in dollars for a single order of x sweatshirts.
y = 6.5x + 3.99
200
How many constant intervals does the following graph have?
5
200
What is Mrs. Strutz' least favorite season?
Winter
300
Lilly records the age, in years, and the height, in inches, of the starting players on the girls' middle school basketball team.
She records them as an ordered pair (11,62), (12,64), (13,65), (13,67), and (14,68). Is this relation a function? Explain.
No, there are 2 heights associated with the age 13.
300
Do the ordered pairs plotted in the graph below represent a function? Explain.
No, there are two y-values when x = 4.
or
No, the graph would fail the vertical line test when x = 4.
300
A car moving at a constant speed passes a timing device at t=0. After 8 seconds, the car has traveled 840 feet.
Write a linear function y = mx + b that represents the distance in feet, d, the car has traveled in t seconds.
d = 105t
300
How does knowing the slope of a linear function help you determine whether a function is increasing or decreasing?
Positive slope - increasing
Negative slope - decreasing
Slope = 0, constant
300
In the FIFA World Cup, who is playing against the Netherlands @ 2:00PM
Argentina
400
Make an arrow diagram that represents the following set of coordinates:
(3,39), (6,39), (9,78), (15,117).
Is this a function or not?
Students board should include both the arrow diagram and a final YES / NO answer.
400
On your whiteboards, sketch the graph of a relationship that would not be considered a function.
*Students should have a relationship that would fail the vertical line test on their boards.
400
What is a linear function in the form y = mx + b for the line passing through (4.5, -4.25) with the y-intercept 2.5?
y = -1.5x + 2.5
400
If the graph of a function shows the same output values, or y-values, for each input value is the graph increasing, decreasing or constant?
Constant
400
What is the rarest M&M color?
Brown
500
Is a relation always a function? Explain
A function is always a relation, but a relation is not always a function.
A relation is a function only if for each input value there is exactly one output value.
500
A train leaves the station at t = 0. Traveling at a constant speed, the train travels 360 kilometers in 3 hours.
Write a function that relates the distance traveled, d, to the time, t.
d = 120t
500
Ms. Bitts is looking at a graph that shows a line drawn between two points with a slope of -5.
One of the points is smudged and she cannot read it. The points as far as she can tell are (3,5) and (x, 10).
What must be the value of x be?
x = 2
500
Write the equation of a line that, when plotted on a coordinate plane, is only constant.
* Any equation that is y = a, where a can be any real number.
500
What is a single strand of spaghetti called?
A spaghetto