Independent and Dependent Quantities
Domain and Range
Function or Not
Function Families
Draw Me
100
An independent quantity in a relationship is commonly related to what?
Time
100
What is the domain of the following graph?
RR
(-oo,oo)
-oo<x<oo
100
Determine whether the graph is a function. Explain why or why not.
Function. It passes the vertical line test.
100
Which function family does this equation belong to?
f(x)=x^2+4x+4?
Quadratic
100
Sketch a graph of an increasing, discrete, linear function AND write the equation of your function using function notation.
Example:
f(x)=x
200
A botanist has determined that there is a relationship between how much a certain plant grows and how much water it receives. Identify the independent quantity in this situation.
How much water the plant receives
200
What is the range of the following table:
{0,25,50}
200
Determine whether the graph is a function. Explain why or why not.
Not a function. Does not pass the Vertical Line Test.
200
Which function family does this equation belong to?
f(x)=20^x?
Exponential
200
Sketch a graph of a decreasing, continuous, linear function AND write the equation of your function using function notation.
f(x)=-x
300
Identify the independent and dependent quantities for the following scenario:
Heath has 10 pennies in his piggy bank initially. He doubles the number of pennies in his piggy bank each day for five days.
Independent: Time (Days)
Dependent: Money (Pennies)
300
What is the range of the following graph:
(-oo,2]
-oo<y<=2
300
Determine whether the mapping represents a function. Explain why or why not.
Not a function. An input of 0 results in multiple outputs of -2 and 0.
300
These two function families have graphs that increase AND decrease within their domain.
Quadratic and Linear Absolute Value
300
Sketch a graph of a continuous, linear absolute value function with an absolute maximum AND write the equation of your function using function notation.
f(x)=-abs(x)
400
Jordan earns $800 each week plus $40 an hour for each hour of overtime.
Independent: Hours of Overtime
Dependent: Earnings $
400
What is the domain AND range of the following graph:
Domain:
(-oo,oo)
-oo<x<oo
Range:
[0,oo)
0<=y<oo
400
Determine if the table represent a function. Explain why or why not.
Function. Each input has only one output.
400
This function is a curve but never has a maximum or minimum point
Exponential
400
Sketch a graph of a constant, continuous, linear function AND write the equation of your function using function notation.
Example:
f(x)=1
500
The speed of a car quickly declines as the driver breaks to match a lower speed limit.
Independent : Time
Dependent: Speed
500
Identify the domain and range of the following graph:
Domain
0<=x<=200
Range
500<=y<=2000
500
Determine if the equation represents a function.
y=2/3x-7
Function. For every input into the equation you will get only one output.
500
Name the function families that have a domain of
-oo<x<oo
All of the them! Linear, Quadratic, Exponential, Linear Absolute Value
500
Sketch a graph of a continuous, increasing exponential AND write the equation of your function using function notation.
f(x)=2^x