Independent/Dependent
Is the relation a function?
Domain/Range
Linear Functions
Misc.
100
Hector knows there is a relationship between the number of cars he washes and the total amount of time it takes him to wash those cars. Identify the independent quantity and the dependent quantity in the problem situation.
I) the number of cars washed
D) the total amount of time it takes to wash the cars
100
Determine whether each relationship represents a function. Explain your reasoning.
NO - does not pass the vertical line test
100
Identify the domain and range (include units)
D) all real numbers between 0 and 50
R) all real numbers between 0 and 2.5
100
What is a linear function
a function that creates a straight line when graphed (answers may vary)
100
which is a linear function?
a
200
Angela’s grandfather gave her all the cash he had in his pocket to buy raffle tickets that cost $1 each for her cheerleading fundraiser. Identify the independent quantity and dependent quantity in the problem situation.
D) amount of raffle tickets purchased
I) amount of money Angela has
200
Determine whether each relationship represents a function. Explain your reasoning.
yes - no repeating inputs
200
identify the domain and range
D) 2, 3, 4
R) -1, 1
200
How do you find the slope of a linear function when given a graph?
rise/run
200
When writing equations, what is a constant
A number (not a changing variable)
Example: in the equation y=7x+6, 7 and 6 are both constants, y and x are variables
300
Brie knows there is a relationship between the grades on her math tests and the time she spends studying for those tests. Identify the independent quantity and the dependent quantity in this problem situation
D)grade on math test
I) amount of time spent studying
300
Determine whether each relationship represents a function. Explain your reasoning.
yes - passes the vertical line test
300
Identify the range
-1, 1
300
In y-intercept form, what does the "b" represent?
Y-intercept
300
which is a constant function
a
400
David rode his bike to the park. After staying at the park for a while, he continued his ride to the grocery store. The graph shown represents this situation. Identify the independent and dependent values - include units in your answer.
D)distance from house (miles)
I) time(in min)
400
Determine whether each relationship represents a function. Explain your reasoning.
no - has one input with multiple outputs
400
what is the domain?
all real numbers
400
What is the equation of a function in slope-intercept form?
y=mx+b
Example: y=3x+7
400
Match the function to its graph
d
500
Skylar draws different sized spheres in a notebook. She knows there is a relationship between the volume of the sphere and the length of its diameter. What is the independent quantity in the situation?
a. surface area of the sphere
b. length of the diameter
c. volume of the sphere
d. number of spheres Grissom draws
b. length of the diameter
500
Determine whether each relationship represents a function. Explain your reasoning.
no has one input with multiple outputs
500
what is the range?
all values of y greater or equal to -1
500
What is the equation for a function in standard form?
ax+by=c
where a, b, and c are constants
Example: 2x+5y= 10
500
Heath has 10 pennies in his piggy bank initially. He doubles the number of pennies in his piggy bank each day for five days. Which graph correctly represents the scenario?
graph 1