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.
This is the Unit assessment covering Unit 2 Understanding Functions.
You may use your notes, past assignments, and desmos to complete this assessment.
Complete the entire test and show your work for full credit. Responses without work will receive no points.
Part I
Representing Relations and Functions
Required
20
Relations vs. Functions
Required
3
Required
3
Evaluating Functions
Required
20
Required
10
Part II
Arithmetic Sequences
Required
20
Required
20
Real World Situations
Required
20
Required
20
Question 1
1.
Use the set of ordered pairs to complete the relation table, relation mapping, and coordinate graph.
Question 2
2.
Determine whether the given relation 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.
Directions: Complete each function table, then graph the function.
(Your answer should be a line of connected points)
Question 5
5.
Evaluate each function for the given value.
Question 6
6.
Use this sequence of numbers to answer the following questions.
Explicit formula: aₙ = a₁ + (n-1)(d)
or
f(n) = f(1) + (n-1)(d)
First term a₁ or f(1)=_______
Common difference d=_______
Explicit Formula=_______
Sixteenth term a₁₆ or f(16)=_______
Question 7
7.
Use this sequence of numbers to answer the following questions:
20, 17, 14, 11 ...
Explicit formula: aₙ = a₁ + (n-1)(d)
or
f(n) = f(1) + (n-1)(d)
First term f(1)=_______
Common difference d=_______
Explicit Formula=_______
Fifty-seventh term f(57)=_______
Question 8
8.
Darius filled up his gas tank with 24 gallons of gas. For each mile (n) that he drives, he uses 0.05 gallons of gas.
Write an explicit rule to represent this situation.
_______
How many gallons of gas are left in the tank after driving 200 miles?
_______
Question 9
9.
The total bank loan for Sarah’s new car is $16,800. The bank automatically withdraws $280 each month to pay off the car.
Create an explicit rule that models this situation.
_______
If she continues to make the payments on time, how long will it take her to pay off the loan?