Unit 2 Assessment (Due 11/2/22) Retake 11/4/2022

Last updated about 4 hours ago

14 questions

Note from the author:

Instructions

Required

Unit 2 Assessment (Due 11/2/22) Retake 11/4/2022

Last updated about 4 hours ago

14 questions

Note from the author:

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.

Instructions

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

Required

Use the set of ordered pairs to complete the relation table, relation mapping, and coordinate graph.

Relations vs. Functions

Required

Determine whether the given relation from the previous problem is a function. (Function or Not a Function)

Required

Determine whether the given relation is a function. (Function or Not a Function)

Required

Determine whether the given relation is a function. (Function or Not a Function)

Evaluating Functions

Required

Directions: Complete each function table, then graph the function.

Required

Evaluate each function for the given value.

For questions 7-8, use the functions to the left.

Required

Evaluate each function for the given value.

Required

Evaluate each function for the given value.

Part II

Required

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=_______ 

Required

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)=_______

Required

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.

Required

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?

Required

The total bank loan for Sarah’s new car is $15,340. The bank automatically withdraws $295 each month to pay off the car.

Required

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?

Unit 2 Assessment (Due 11/2/22) Retake 11/4/2022

Unit 2 Assessment (Due 11/2/22) Retake 11/4/2022

Part I

Representing Relations and Functions

Use the set of ordered pairs to complete the relation table, relation mapping, and coordinate graph.

Relations vs. Functions

Determine whether the given relation from the previous problem is a function. (Function or Not a Function)

Determine whether the given relation is a function. (Function or Not a Function)

Determine whether the given relation is a function. (Function or Not a Function)

Evaluating Functions

Directions: Complete each function table, then graph the function.

Evaluate each function for the given value.

For questions 7-8, use the functions to the left.

Evaluate each function for the given value.

Evaluate each function for the given value.

Part II

Explicit formula: aₙ=a₁+d(n-1)

-11, -8, -5, -2 ...

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.

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?

The total bank loan for Sarah’s new car is $15,340. The bank automatically withdraws $295 each month to pay off the car.

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?

Part I

Representing Relations and Functions

Use the set of ordered pairs to complete the relation table, relation mapping, and coordinate graph.

Relations vs. Functions

Determine whether the given relation from the previous problem is a function. (Function or Not a Function)

Determine whether the given relation is a function. (Function or Not a Function)

Determine whether the given relation is a function. (Function or Not a Function)

Evaluating Functions

Directions: Complete each function table, then graph the function.

Evaluate each function for the given value.

For questions 7-8, use the functions to the left.

Evaluate each function for the given value.

Evaluate each function for the given value.

Part II

Explicit formula: aₙ=a₁+d(n-1)

-11, -8, -5, -2 ...

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.

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?

The total bank loan for Sarah’s new car is $15,340. The bank automatically withdraws $295 each month to pay off the car.

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?

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.

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?

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?

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.

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?

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?