Independent/Dependent Quantities
Function Familes
Is it a function?
Graphical Behavior
Mixed Review
100
In hockey, a team's score depends on how many goals the team has scored.
Independent:
Dependent:
independent: goals the team has scored
dependent: team's score
100
Identify the function family for this graph
This graph represents a quadratic function
100
Does the graph show a function? If not, explain why.
Not a function; fails vertical line test
100
Identify at least two characteristics of the below graph:
Linear; decreasing; continuous;
100
Draw a graph that passes through exactly two quadrants
200
Kelsey is hosting a pizza party for her basketball team. The more team members who attend the party, the more pizzas she will need to order.
Independent:
Dependent:
independent: the number of team members who attend
dependent: pizzas she orders
200
The graph below represents function family
linear absolute
200
Does the relation show a function? If not, explain why.
Yes, the relation is a function. For every x-value, there is one unique y-value.
200
Circle the function types whose graphs consist only of lines. Choose all that apply.
Linear Absolute Quadratic
Linear None of the above
Exponential
linear and linear absolute
200
A function is
a relation in which each element of the domain (x) is paired with exactly one element of the range (y).
300
Selena is driving on a long distance road trip. She travels an average of 60 miles per hour.
Independent:
Dependent:
Independent quantity: time (hours)
Dependent quantity: distance (miles)
300
Sketch a graph that has the given characteristics.
- is exponential
- is decreasing
300
Identify whether the relation displays a function. If not, explain
Domain Range
2 4
2 5
4 1
1 2
Not a function there are two possible y values for when x=2. (2,4) and (2,5).
300
Which of the functions below have graphs that are both increasing and decreasing?
constant linear piecewise
quadratic linear absolute
linear none of the choices
quadratic functions and linear absolute functions
300
Rewrite the function y=3x-8 using function notation so that the dependent quantity, defined as f, is a function of the independent quantity x .
If the independent quantity is x , the dependent quantity is f, so I can replace y with the function notation f(x). f(x)=3x-8.
400
Phillip enjoys rock climbing on the weekends. At some of the less challenging locations, he can climb as much as 12 feet per minute.
Independent quantity: time (minutes)
Dependent quantity: distance climbed (feet)
400
Identify the function family the equation belongs in
f(x)=2x2-3x+1
Quadratic
400
Does the relation show a function? If not, explain.
Yes, the graph passes the vertical line test.
400
Identify the characteristics of the below graph: 
Linear piecewise
combo increasing/constant/increasing
400
Identify the domain and range of the graph below
Domain: all real numbers or -∞ <x <∞
Range: y ≥ 0
500
Marcus throws a football straight up into the air. After it reaches its maximum height of 20 feet, it descends back to the ground.
Independent:
Dependent:
Graph the scenario
Independent: time (seconds
Dependent: height (feet)
500
Identify the function family that these characteristics belong to:
one or more straight lines
continuous
combination of increasing and decreasing
has minimum or maximum
linear absolute function
500
Does the graph represent a function?
No, fails the vertical line test.
500
Identify which quadrants the graph passes through
The graph passes through quadrant II, Quadrant I, and Quadrant III
500
Write a scenario to match the graph.
Mrs. Anson running away from a bird for 15 seconds.
I drive twenty miles to school at a constant speed.
I left my phone in my locker and walk to class.
I walk out of school to my car and leave the parking lot.