Coordinate algebra semester 1 review
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Coordinate Algebra Semester 1 Review. UNIT 3 – Linear & Exponential Functions. Question 1 Function vs. Relation. Is this a function? (-1, 2), (8, -4), (12, 3), (12, -3). Question 1 Function vs. Relation. Is this a function? (-1, 2), (8, -4), (12, 3), (12, -3). No, 12 has two outputs.

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Coordinate Algebra Semester 1 Review

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Coordinate algebra semester 1 review

Coordinate AlgebraSemester 1 Review

UNIT 3 – Linear & Exponential Functions


Question 1 function vs relation

Question 1Function vs. Relation

Is this a function?

(-1, 2), (8, -4), (12, 3), (12, -3)


Question 1 function vs relation1

Question 1Function vs. Relation

Is this a function?

(-1, 2), (8, -4), (12, 3), (12, -3)

No, 12 has two outputs.


Question 2 function vs relation

Question 2 Function vs. Relation

Is this a function?


Question 2 function vs relation1

Question 2 Function vs. Relation

Is this a function?

Yes, each input has one output..


Question 3 evaluate functions

Question 3Evaluate Functions

Evaluate f(x) = 5(3x) + 1 for x = 3.


Question 3 evaluate functions1

Question 3Evaluate Functions

Evaluate f(x) = 5(3x) + 1 for x = 3.


Question 4 combining functions

Question 4Combining Functions


Question 4 combining functions1

Question 4Combining Functions


Question 5 exponential linear or neither

Question 5Exponential, Linear, or Neither

Each term in a sequence is exactly ½ of the previous term.


Question 5 exponential linear or neither1

Question 5Exponential, Linear, or Neither

Each term in a sequence is exactly ½ of the previous term.

Exponential.


Question 6 exponential linear or neither

Question 6Exponential, Linear, or Neither

This function is decreasing at a constant rate.


Question 6 exponential linear or neither1

Question 6Exponential, Linear, or Neither

This function is decreasing at a constant rate.

Linear


Question 7

Question 7

What is happening to y as x increases for the graph?


Question 71

Question 7

What is happening to y as x increases for the graph?


Question 8

Question 8

Find the rate of change:


Question 81

Question 8

Find the rate of change:


Question 9

Question 9

Write an explicit and recursive rule for the nth term. Find a50.

1, 5, 9, 13, …


Question 91

Question 9

Write an explicit and recursive rule for the nth term. Find a50.

1, 5, 9, 13, …


Question 10

Question 10

Write an explicit and recursive rule for the nth term. Find a8.

8, 16, 32, 64,…


Question 101

Question 10

Write an explicit and recursive rule for the nth term. Find a8.

8, 16, 32, 64,…


Question 11

Question 11

Describe the domain:


Question 111

Question 11

Describe the domain:


Question 12

Question 12

What is the asymptote for the function?


Question 121

Question 12

What is the asymptote for the function?


Question 13

Question 13

Compare the y-intercepts of the following two functions.


Question 131

Question 13

Compare the y-intercepts of the following two functions.


Question 14

Question 14

Is this function discrete or continuous?


Question 141

Question 14

Is this function discrete or continuous?


Question 15

Question 15

Given the graph, which of the following are true?

I and II

I and III

I and IV

I, II, and IV


Question 151

Question 15

Given the graph, which of the following are true?

I and II

I and III

I and IV

I, II, and IV


Question 16

Question 16

If the graph of f(x) is,

What does –f(x) look like?


Question 161

Question 16

If the graph of f(x) is,

What does –f(x) look like?


Question 17

Question 17

Ely decides to join a gym. Buff Bodies charges $50 sign-up fee plus $30 a month. Mega Muscles charges $10 sign-up fee plus $40 a month.

Write a function for the cost of each gym membership.


Question 171

Question 17

Ely decides to join a gym. Buff Bodies (B) charges $50 sign-up fee plus $30 a month. Mega Muscles (M) charges $10 sign-up fee plus $40 a month.

Write a function for the cost of each gym membership.


Question 18

Question 18

Ely decides to join a gym. Buff Bodies charges $50 sign-up fee plus $30 a month. Mega Muscles charges $10 sign-up fee plus $40 a month.

Will these two functions ever intersect? If so, where? What does this mean?


Question 181

Question 18

Ely decides to join a gym. Buff Bodies charges $50 sign-up fee plus $30 a month. Mega Muscles charges $10 sign-up fee plus $40 a month.

Will these two functions ever intersect? If so, where? What does this mean?


Question 19

Question 19

For Christmas you get an iPhone 5 worth $800. Every month the value decreases by 5% with all the new products coming out.

a) Write an exponential equation describing the situation.

b) How much is the phone worth in 3 years?


Question 191

Question 19

For Christmas you get an iPhone 5 worth $800. Every month the value decreases by 5% with all the new products coming out.

a) Write an exponential equation describing the situation.

b) How much is the phone worth in 3 years?


Question 20

Question 20

Matt made $3,000 last summer coach tennis camps. He wants to continue this business in the following years. He hopes that his profit will increase 12% each year.

Write an equation to describe this situation.

What is the growth/decay factor?

How much will he make in 4 years?


Question 201

Question 20

Matt made $3,000 last summer coach tennis camps. He wants to continue this business in the following years. He hopes that his profit will increase 12% each year.

Write an equation to describe this situation.

What is the growth/decay factor?

How much will he make in 4 years?


Question 21

Question 21

Describe the transformations

g(x) = -4x - 12


Question 211

Question 21

Describe the transformations

g(x) = -4x - 12


Question 22

Question 22

Describe the transformations

g(x) = ¼ (3)x-2 + 5


Question 221

Question 22

Describe the transformations

g(x) = ¼ (3)x-2 + 5


Question 23

Question 23

A manufacturer keeps track of her monthly costs by using a “cost function” that assigns a total cost for a given number of manufactured items, x. The function is C(x) = 5,000 + 1.3x.

a. Can any value be in the domain for this function?

b. What is the cost of 2,000 manufactured items?

c. If costs must be kept below $10,000 this month, what is the greatest number of items she can manufacture?


Question 231

Question 23

A manufacturer keeps track of her monthly costs by using a “cost function” that assigns a total cost for a given number of manufactured items, x. The function is C(x) = 5,000 + 1.3x.

a. Can any value be in the domain for this function?

b. What is the cost of 2,000 manufactured items?

c. If costs must be kept below $10,000 this month, what is the greatest number of items she can manufacture?


Question 24

Question 24


Question 241

Question 24


Question 25

Question 25


Question 251

Question 25


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