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Copy of Unit 2 Assessment (11/14/2023) (7/21/2024)
By James Parson
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11 questions
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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.
Representing Relations and Functions
Question 1
1.
Use the set of ordered pairs to complete the relation table, relation mapping, and coordinate graph.
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Relations vs. Functions
Question 2
2.
Determine whether the given relation is a function. (
Function
or
Not a Function
)
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Question 3
3.
Determine whether the given relation is a function.
(Function or Not a Function)
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Question 4
4.
Determine whether the given relation is a function.
(Function or Not a Function)
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Evaluating Functions
Question 5
5.
Directions: Complete each function table, then graph the function.
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Question 6
6.
Evaluate each function for the given value.
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For questions 8-9, use the functions to the left.
Required
10
Question 7
7.
Evaluate each function for the given value.
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Required
10
Question 8
8.
Evaluate each the difference of these two functions for the given values.
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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 a₁₀₁=_______
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Applications
Question 10
10.
Darius completely 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.
_______
How many gallons (n) of gas are left in the tank after driving 240 miles?
_______
How many miles can Darius drive on a full tank of gas?
_______
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Question 11
11.
The total bank loan for Sarah’s new car is $15,340. The bank automatically withdraws $295 each month to pay off the car.
Write an explicit rule to represent this situation.
_______
Much does Sarah still owe after 2 years of payments?
_______
If she continues to make the payments on time, how long will it take her to pay off the loan?
_______
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