This is the Unit assessment covering relations, functions, and sequences.
You may use your notes, past assignments, and desmos to complete this assessment.
Show your work for full credit.
This is the Unit assessment covering relations, functions, and sequences.
You may use your notes, past assignments, and desmos to complete this assessment.
Show your work for full credit.
Part I
Representing Relations and Functions
Question 1
1.
Use the set of ordered pairs to complete the relation table, relation mapping, and coordinate graph.
Relations vs. Functions
Question 2
2.
Determine whether the given relation from the previous problem is a function. (Function or Not a Function)
Question 3
3.
Determine whether the given relation is a function. (Function or Not a Function)
Question 4
4.
Determine whether the given relation is a function. (Function or Not a Function)
Evaluating Functions
Question 5
5.
Directions: Complete each function table, then graph the function.
Question 6
6.
Evaluate each function for the given value.
For questions 7-8, use the functions to the left.
Required
10
Required
10
Part II
Question 9
9.
Use this sequence of numbers to answer the following questions.
Explicit formula: aₙ=a₁+d(n-1)
First term a₁=_______
Common difference d=_______
Explicit Formula=_______
Sixteenth term a₁₆=_______
Question 10
10.
Use this sequence of numbers to answer the following questions.
-11, -8, -5, -2 ...
First term f(1)=_______
Common difference d=_______
Explicit Formula=_______
Fifty-seventh term f(57)=_______
Question 11
11.
Darius filled up his gas tank with 24 gallons of gas. For each mile (n) that he drives, he uses 0.06 gallons of gas.
Write an explicit rule to represent this situation.
Question 12
12.
Darius filled up his gas tank with 24 gallons of gas. For each mile (n) that he drives, he uses 0.06 gallons of gas.
How many gallons (n) of gas are left in the tank after driving 240 miles?
Question 13
13.
The total bank loan for Sarah’s new car is $15,340. The bank automatically withdraws $295 each month to pay off the car.
Question 14
14.
The total bank loan for Sarah’s new car is $15,340. The bank automatically withdraws $295 each month to pay off the car.
If she continues to make the payments on time, how long will it take her to pay off the loan?