Unit 4: Week 11/18/13-12/4/13



Unit 4: Week 11/6/14-11/21/14

Date Topic HW Quiz Journal

11/6/14 4.1 4.1 #1

11/7/14 4.1 4.1 #2 13 Due

11/10/14 4.2 4.2 #1 14 Assigned

11/12/14 4.2 4.2 #2

11/13/14 4.3 4.3 #1 4.1-4.2

11/14/14 4.3 4.3 #2 14 Due

11/17/14 4.4 4.4 #1 15 Assigned

11/18/14 4.4 4.4 #2

11/19/14 Review Unit 4 Study Guide 4.3-4.4

11/20/14 Review

11/21/14 Unit 4 TEST 15 Due

HW 4.1 #1: Assigned 11/6/14 Due: 11/7/14

Find the (A)domain and (B)range of the function represented by the graph.

1. 2.

3. The number of girls and boys on the committee is represented by the equation

[pic] The table shows the number of girls and boys.

a. Write the equation in function form.

b. Find the domain and range.

c. How many people are on the committee?

d. Why is [pic] not in the range of the function?

(A) Copy and complete the input-output table for the function. Then find the (B)domain and (C) range of the function.

4. [pic] 5. [pic]

HW 4.1 #2: Assigned 11/7/13 Due: 11/10/14

Find the (A)domain and (B)range of the function represented by the graph.

1. 2.

3.The number of packages of limes and lemons you can buy with $16 is represented by the equation [pic] The table shows the number of packages of limes and lemons.

a. Write the equation in function form.

b. Find the domain and range.

c. What is the minimum number of packages that you can purchase for $16?

d. Which package costs more, limes or lemons? Explain.

(A) Copy and complete the input-output table for the function. Then find the (B) domain and (C) range of the function.

4. [pic] 5. [pic]

6. The triceps machine at the gym is set for an individual to lift 60% of his or her body weight with each repetition.

a. Write an equation in function form that represents the amount of weight y (in pounds) an individual lifts with each

repetition for his or her weight x.

b. Create an input-output table for the equation in part (a). Use the inputs 125, 150, 175, 200, and 225.

c. Find the domain and range.

HW 4.2 #1: Assigned 11/10/14 Due: 11/12/14

(A) Is the domain discrete or continuous? Find the (B) domain and (C) range of the function.

1. 2.

(A) Is the domain discrete or continuous? (B) Graph the function.

3. 4.

5. The function [pic] represents the balance b (in dollars) on a pre-paid phone card after making n phone calls. (A) Is the domain discrete or continuous?(B) Graph the function using a domain of [pic]

6. You spent $24 on surfboard wax and sunscreen. The function [pic] relates x, the number of containers of surfboard wax you purchased, to y, the number of tubes of sunscreen you purchased.

a. Is 2 in the range? Explain.

b. Is 2 in the domain? Explain.

HW 4.2 #2: Assigned 11/12/14 Due: 11/13/14

(A) Is the domain discrete or continuous? Find the (B) domain and (C) range of the function.

1. 2.

(A) Is the domain discrete or continuous? (B) Graph the function.

3. 4. 5. The input of one

function is number of

accidents. The input of

another function is time.

Which function has a

discrete domain?

Explain.

HW 4.3 #1: Assigned 11/13/14 Due: 11/14/14

Use the graph or table to write a linear function that relates y to x.

|x |–10 |–5 |0 |5 |

|y |–2 |–1 |0 |1 |

1. 2. 3. 4.

5. The table shows the area y (in square feet) of a triangle whose height is x feet.

a. Graph the data.

b. Is the domain discrete or continuous?

c. Write a linear function that relates the area of the triangle to the height of the triangle.

HW 4.3 #2: Assigned 11/14/14 Due: 11/17/14

Use the graph or table to write a linear function that relates y to x.

1. 2. 3. 4.

5. The table shows the time y (in minutes) it takes to make x burritos.

a. Graph the data.

b. Is the domain discrete or continuous?

c. Write a linear function that relates y to x.

d. How long does it take to make 7 burritos?

e. How many burritos can you make in 7.5 min?

HW 4.4 #1: Assigned 11/17/14 Due: 11/18/14

Graph the data in the table. Decide whether the function is linear or nonlinear.

1. 2.

Does the table or graph represent a linear or nonlinear function? Explain.

3. 4. 5. 6.

7. The table shows the area A (in square centimeters) of a circle with radius r centimeters. Does the table represent a linear or nonlinear function? Explain.

8. The table shows the cost y (in dollars) of x ounces of cereal.

a. What is a missing y-value that makes the table represent a nonlinear function?

b. What is the missing y-value that makes the table represent a linear function?

c. Write a linear function that relates cost y to ounces x.

HW 4.4 #2: Assigned 11/18/14 Due: 11/19/14

Graph the data in the table. Decide whether the function is linear or nonlinear.

1. 2.

Does the graph or equation represent a linear or nonlinear function? Explain.

3. 4. 5. [pic] 6. [pic] 6.

7. The table shows the profit P (in dollars) of selling x pairs of flip flops. Does the table represent a linear or nonlinear function? Explain.

8. The table shows the commission y (in dollars) of selling x cell phone plans.

a. Does the table represent a linear or nonlinear function? Explain.

b. Based on the pattern in the table, what is the commission of selling

5 cell phone plans?

9. The formula for the volume V of a sphere with radius r is [pic] Does this formula represent a linear or

nonlinear function? Explain.

Chapter 4 Study Guide Assigned 11/19/14 Due: 11/20/14

1. Find the (A) domain and (B) range of the

function represented by the graph.

(A) Copy and complete the input-output table for the function. Then find the (B) domain and (C) range of the function.

2. y = 3x - 1 3. 4x + y = 2

4. A dolphin eats about 8% of its body weight each day.

a. Write an equation in function form that represents the amount y (in pounds) of food a dolphin eats each day for its weight x.

b. Create an input-output table for the equation and use the inputs 100, 120, 140, 160, 180, and 200.

c. Find the domain and range of the function represented by the table.

(A) Is the function discrete or continuous? Explain. Find the (B) domain and (C)range of the function.

5.

6. The number of shirts and pants that you can buy with $80 is represented by the equation 10x + 20y = 80.

The table shows the number of shirts and shorts.

a. Write the equation in function form.

b. Find the range.

c. How much does each pair of pants cost?

d. Graph the function.

e. Is the domain discrete or continuous? Explain.

Graph the function. Is the domain discrete or continuous?

7.

Use the graph or table to write a linear function that relates y to x.

8. 9. 10.

Does the table, graph, or equation represent a linear or nonlinear function? Explain.

11. 12. 13. 2x + 3y = 7 14. y + x = 4x + 5

15. The table shows the amount of gasoline g (in gallons) left in your tank after you travel m miles.

a. Write a linear function that relates the amount of gasoline to the traveling distance.

b. How many gallons of gasoline are left after you drive 120 miles?

16. The equation [pic] represents the cost y (in dollars) of purchasing x packages of paper towels at a store. Does the equation represent a linear or nonlinear function?

-----------------------

|Girls, x |0 |2 |4 |6 |

|Boys, y |6 |4 |2 |0 |

|x |-3 |0 |3 |6 |

|y | | | | |

|x |–1 |0 |1 |2 |

|y | | | | |

|Limes, x |0 |1 |2 |3 |4 |

|Lemons, y |8 |6 |4 |2 |0 |

|x |0 |3 |6 |9 |

|y | | | | |

|x |–1 |0 |1 |2 |

|y | | | | |

|Input |Output |

|Belts, x |Cost, y (dollars) |

|0 |0 |

|1 |7.50 |

|2 |15 |

|Input |Output |

|Years, x |Weight of Cat, y |

|1 |5 |

|2 |7 |

|3 |9 |

|Input |Output |

|Cell Phones, x |Cost, y (dollars) |

|1 |45 |

|2 |54.99 |

|3 |64.98 |

|Input |Output |

|Radius, x |Area, y |

|1 |3.14 |

|2 |12.56 |

|3 |28.26 |

|x |–1 |0 |1 |2 |

|y |3 |0 |–3 |–6 |

|Height, x |0 |1 |2 |3 |

|Area, y |0 |3 |6 |9 |

|x |–5 |0 |5 |10 |

|y |1 |3 |5 |7 |

|x |–4 |–2 |0 |2 |

|y |8 |4 |0 |–4 |

|Burritos, x |1 |2 |3 |4 |

|Minutes, y |0.75 |1.5 |2.25 |3 |

|x |0 |1 |2 |3 |

|y |5 |10 |15 |20 |

|x |1 |2 |3 |4 |

|y |4 |6 |9 |13 |

|x |3 |5 |7 |9 |

|y |5 |3 |0 |3 |

|x |4 |7 |10 |13 |

|y |–2 |0 |2 |4 |

|Radius, r |1 |2 |3 |

|Cost, y |? |2.5 |3.5 |

|x |4 |3 |2 |1 |

|y |1 |3 |7 |11 |

|x |2 |5 |8 |11 |

|y |3 |6 |9 |12 |

|Flip Flops, x |1 |2 |3 |4 |5 |

|Profit, P |4 |8 |12 |16 |20 |

|Cell phone plans, x |1 |2 |3 |4 |

|Commission, y |100 |150 |250 |400 |

|x |–2 |–1 |0 |1 |2 |

|y | | | | | |

|x |0 |1 |2 |3 |4 |

|y | | | | | |

|Shirts, x |0 |2 |4 |6 |8 |

|Pants, y |4 |3 |2 |1 |0 |

|Input |Output |

|Hats, x |Cost, y (dollars) |

|0 |0 |

|1 |8.45 |

|2 |16.9 |

|x |0 |1 |2 |3 |

|y |3 |5 |7 |9 |

|x |–2 |0 |2 |4 |

|y |5 |4 |3 |2 |

|x |–1 |1 |3 |5 |

|y |5 |1 |–3 |–7 |

|Miles, |Gallons, |

|m |g |

|0 |20 |

|20 |19 |

|40 |18 |

|60 |17 |

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