1

ASSIGNMENT PACKET NAME__________________

2-A Assignment

2

3

2-B Assignment

4

2-C Assignment

5

Assignment 2-D

Objective: I can represent functions as a table, a graph, a mapping and algebraically. I can use function notation to describe input/output of a function 1. Complete the table, graph and mapping for the function: f(x) = 2x – 1

Table (choose 5 values) Graph Mapping

2. Define in your own words: Relation - _____________________________________________________________________ Function - _____________________________________________________________________ Domain - ______________________________________________________________________ Range - _______________________________________________________________________ 3. Explain how you can use the table, graph and mapping from problem 1 to determine: a. Whether the relation is a function b. The domain and range of the function c. f(2)

x f(x)

x

y

input output f

6

d. f(-1) e. x when f(x) is -11 4. Use the table below. Draw the graph and show the mapping. Identify the domain and range and

whether the relation is a function.

D: R: Function? because 5. Use the function machine below to find the output g for the input listed

6. Draw a relation that is a function Draw a relation that is not a function

Input to f

-3 -2

0 2

4

x

Input to f

Output from f

Input to g

Output

from g

f(x) = x – 5

g(x) = 3x

input f(x)

-3 -2 0 2 4 x

input g(x)

x f(x)

3 6 -2 8 -4 -5 0

-4 2 -3 7 -4 -2 5

x

y

f

Output

becomes

input

7

7. If f(x) = 3x – 4, what does f(0) mean? What is the value of f(0)?

2-E Assignment

Objective: I can identify functions and domain and range of relations. I can use function notation to describe input/output of a function 1. Determine which of the relations below are functions. Identify the domain and range for each.

a. { (4, 8), (-3, -2), (2, -1) (-4, -3), (2, 7), (-8, -5) } Function?

because

Domain: { }

Range: { }

f(4) =

f(-8) =

f(2) =

x when f(x) = -5 is

x when f(x) = -3 is

b.

Function?

because

Domain: { }

Range: { }

c.

Function?

d.

Function?

x

y

x

y

f(2) =

f(5) =

x when

f(x) = 5 is

x when

f(x) = -4 is

f(2) =

f(5) =

x when

f(x) = 2 is

x when

f(x) = -3 is

8

because

Domain: { }

Range: { }

because

Domain: { }

Range: { }

2. For each function, find the indicated values: (use a calculator for letter e) a. f(x) = 2x – 5 f(6) x when f(x) = 3 b. j(p) = p2 – 4 j(12) j(-12)

c. g(x) =x + 3

x2 + x - 6 g(4) g(2)

d. k(r) = 2 3r( ) k(2) k(0)

3. Answer the following questions about the following scenarios. a. The amount of fuel in your car as a function of time driving. Describe the domain variable Describe the range variable Would the function that models this situation be discrete or continuous? Explain b. The number of touchdowns scored as a function of games played. Describe the domain variable

9

Describe the range variable Would the function that models this situation be discrete or continuous? Explain

2-F Assignment

1. Given 𝑓(𝑥) = 2𝑥 + 3. Fill in the table and then sketch a graph.

x f(x)

-5

-3

0

1

-5

2. Given 𝑔(𝑥) =1

2𝑥 − 2. Fill in the table and then sketch a graph.

x f(x)

-8

0

2

8

3

3. Evaluate the following expressions given the functions below:

10

g(x) = -3x + 1 f(x) = x2 + 7 x

xh12

)( 92)( xxj

a. g(10) = b. f(3) = c. h(–2) =

d. j(7) = e. f(-1/2) f. g(-1.6)

h. Find x if g(x) = 16 i. Find x if h(x) = –2 j. Find x if f(x) = 23

4. Translate the following statements into coordinate points.

a. f(–1) = 1 b. f(2) = 7 c. f(3) = 0

5. Given this graph of the function f(x):

Find: a. f(–4) = b. f(0) = c. f(3) =

d. f(-5) = e. x when f(x) = 2 f. x when f(x) = 0

More Practice with Domain, Range, and Continuous vs. Discrete Functions

f

(

y

x 5

5

-

-

11

Find the range and domain of the graphs. Decide if the data is discrete or continuous. Then decide if the relation shown

in the graph is a function.

3. 4. 5.

2-G Assignment

1. Find the missing terms in the sequence. Determine whether each sequence is linear, quadratic, or

exponential. Explain why. .

x 1 2 3 4 5 6

y 3 12 24 39

b.

x 2 3 4 5 6 7

y -7 -9 -11

c.

x 1 2 3 4 5 6

y 4 16 64

2. Write an equation for each of the following types of functions. Fill –in the table and graph the function using

your equation.

Linear Exponential Quadratic

______________________ _______________________ _________________________

12

2-H Assignment

Determine whether the following statements are true or false.

Fill-in the table from the given information

13

Sequence (1st 4 terms)

Recursive Formula- Subscript Notation

Recursive Formula- Function Notation

Explicit Formula – Subscript Notation

Explicit Formula-Function Notation

8, 12, 16, 20, …

An = 8 + 4(n – 1)

a1 = 12 an = an-1 – 6

f(n) = 12 – 6(n – 1)

-3, -1.8, -0.6, 0.6, …

f(n) = -3 + 1.2(n – 1)

a1 = 5.3 an = an-1 – 4.5

f(1) = 5.3 f(n) = f(n-1) – 4.5

2-I Assignment

14

19) A child puts $1.00 into a piggy back. One week later he puts in $1.25 in the bank. Two weeks later, he puts in $1.50,

and so on. How much money will the child put in the bank on the 25th week?

2-J Assignment

1. Determine if the sequence is geometric, arithmetic, or neither.

a. -1, 6, -36, 216, …. b. -1, 1, 4, 8, …. c. 27, 22, 17, 12, …

2. Which of these sequences are geometric? 3. What is the common ratio for this

a. 18, 21, 24, 27, … geometric sequence?

b. 0.3, 1.8, 10.8, 64.8, … 13, 26, 52, 104, …

c. -1, 1, -1, 1, ….

15

d. 20, 40, 160, 960, …

4. Given the first term and the common ratio of a geometric sequence, find the first five terms and the

recursive and explicit forms.

a. a1 = 0.8, r = -5 b. f(n) = 1, r = 2

5. This time, you’re given information about a geometric sequence. Find the first three terms and the

recursive and explicit forms.

a. f(4) = 25, r = -5 b. a5 = 768, a2 = 12

6. A child puts $0.01 into a piggy bank. One week later, he puts in $0.02 in the bank. One week after that, he

puts in $0.04, and so on. How much money will the child put in the bank on the 25th week?

7. Write each formula under the correct sequence

7, 21, 63, 189, … 7, -14, 28, -56, … 7, 35, 175, 875, …

8. a. A home was purchased for $120,000. The table shows the value of the home over a 3-year period.

Write recursive and explicit formulas in function notation for this sequence.

next = now • 5, starting at 7 f(n + 1) = f(n) • 3, f(1) = 7 an = 7 • (-2)n - 1

16

b. What will be the value of the house in 8 years? (To the nearest cent)

c. Which formula did you choose to use to solve this? Explain why.

9. Which statement is true about the terms of the geometric sequence G(n) = (-7) • (-3)n-1?

a. The 4th term is 189 b. Each term in the sequence is positive

c. The 8th term is negative. d. The 6th term is -5103

2-K Assignment

Number of years after purchase 0 1 2 3

Value of the house $120,000 $123,600 $127,308 $131,127.24

17

18

19