Independent/Dependent
Is the relation a function?
Domain/Range
Transformations
Arithmetic Sequences
100
Hector knows there is a relationship between the number of cars he washes and the total time it takes him to wash those cars. Identify the independent quantity and the dependent quantity in the problem situation.
D) the amount of time it takes to wash the cars
I) the number of cars washed
100
Determine whether each relationship represents a function. Explain your reasoning.
NO - explanations may vary
100
Identify the domain and range (include units)
D) time (minutes)
R)distance from home (miles)
100
What transformation occurred to get from the red function to the blue?
Translation down 2
100
Is the sequence 13, 19, 25, 31, 39 an arithmetic sequence? Why or why not?
No, there is not a common difference between all consecutive terms.
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 - explanations may vary
200
identify the domain and range
D) 2, 3, 4
R) -1, 1
200
How is the blue line transformed from the parent function?
2 times steeper
200
What is the common difference in the arithmetic sequence 36, 48, 60, 72...
d=12
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 explanations will vary
300
Is the function a one-to-one function?
No. It is two to one because 2 and 3 both go to -1
300
How is the blue line transformed from the parent function?
1/3 as steep
300
Write the recursive formula for the sequence 10, 15, 20, 25...
a1= 10
an= an-1+5
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 explanations will vary
400
what is the domain?
all real numbers
400
f(x)= 2x-3
two times steeper, then down 3
400
Write the explicit formula for the sequence 10, 15, 20,25...
an= 10 + (n-1)5
500
Grissom draws different sized spheres in a notebook. He 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 explanations will vary
500
what is the range?
all values of y greater or equal to -1
500
f(x)=2(x-3)
translate down 3, then twice as steep
500
Given the explicit formula an= 10 + (n-1)7, what is the 10th term in the sequence?
a10= 630