height of a ball 1. y-intercept: beginning value where graph crosses y-axis 2. x-intercept, zeros,...

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Height of a Ball -intercept: Beginning value Where graph crosses y-axis -intercept, Zeros, Break-even point: Where graph crosses x-axis (2) : X-value is 3, find the y value (x) = 4: y value is 5 find the x value ncreasing: The x-values where the graph is going up ecreasing: The y-value where the graph is going down aximum: ( , ) inimum: ( , )

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Page 1: Height of a Ball 1. Y-intercept: Beginning value Where graph crosses y-axis 2. X-intercept, Zeros, Break-even point: Where graph crosses x-axis 3. f(2)

Height of a Ball

1. Y-intercept: Beginning value Where graph crosses y-axis 2. X-intercept, Zeros, Break-even point: Where graph crosses x-axis

3. f(2) : X-value is 3, find the y value

4. f(x) = 4: y value is 5 find the x value

5. Increasing: The x-values where the graph is going up

6. Decreasing: The y-value where the graph is going down

7. Maximum: ( , )

8. Minimum: ( , )

Page 2: Height of a Ball 1. Y-intercept: Beginning value Where graph crosses y-axis 2. X-intercept, Zeros, Break-even point: Where graph crosses x-axis 3. f(2)

1. Y-intercept 2. Find Break-even point:

3. X-intercept

4. Find and interpret f(5) :

5. Find and interpret f(x) = 8:

6.Increasing:

7.Solve by the graph: 2x – 4 = 10

Profit from Sally’s Lemonade Stand

Profi

t ($)

Number of Glasses Sold

Page 3: Height of a Ball 1. Y-intercept: Beginning value Where graph crosses y-axis 2. X-intercept, Zeros, Break-even point: Where graph crosses x-axis 3. f(2)

1. Initial Value: 2.Break-even point:

3. Find and interpret f(2) :

4. Find and interpret f(x) = 40:

5. Increasing:

6. Find and interpret the maximum:

7. When is -4x2 – 40x – 50 = 20?

Cost of Ticket ($)Pr

ofit (

Hun

dred

’s of

Dol

lars

)

Projected Profit of Concert Based on Ticket

Price

Page 4: Height of a Ball 1. Y-intercept: Beginning value Where graph crosses y-axis 2. X-intercept, Zeros, Break-even point: Where graph crosses x-axis 3. f(2)

Cost of Cab Rides

Miles

Fare

($)

Company A

A(x) = x +

5

Com

pany

B

B(x)

= 3

x +

1

1. After how many miles will the companies be the same?

2. Explain when each company is a better value.

3.Find and interpret the y-intercept of A(x) and what does it mean?

4. Find and Interpret B(2)

5. When is 3x + 1 = 4?

6. When is 3x + 1 = x + 5

Page 5: Height of a Ball 1. Y-intercept: Beginning value Where graph crosses y-axis 2. X-intercept, Zeros, Break-even point: Where graph crosses x-axis 3. f(2)

x y0 -21 02 23 44 65 8

1. Find and Intrepret Y-intercept 2. Find Break-even point:

3. X-intercept

4. Find and interpret f(5) :

5.Find and interpret f(x) = 6:

6.Solve by the table: 2x – 2 = 4

7. Write the NEXT-NOW equation

Profit of Selling Popcorn

Bags Profit

Y1=2x - 2

Page 6: Height of a Ball 1. Y-intercept: Beginning value Where graph crosses y-axis 2. X-intercept, Zeros, Break-even point: Where graph crosses x-axis 3. f(2)

3) Find and interpret the y-intercept?________________________________

7) When is the graph increasing?____________________________

8) When is the graph decreasing?_____________________________

9) What is the maximum height?_____________________________

Page 7: Height of a Ball 1. Y-intercept: Beginning value Where graph crosses y-axis 2. X-intercept, Zeros, Break-even point: Where graph crosses x-axis 3. f(2)
Page 8: Height of a Ball 1. Y-intercept: Beginning value Where graph crosses y-axis 2. X-intercept, Zeros, Break-even point: Where graph crosses x-axis 3. f(2)

Stair Stories Climbed by Two Climbers

A(x) =(1/2)x + 5

B(x) =x +

2

Time (minutes)

Stor

ies

1. What time will they have climbed the same amount of stories?

2. How many stories will they have climbed?

3. Find and interpret the y-intercept of person A?

4. When x+2 = 4?

Page 9: Height of a Ball 1. Y-intercept: Beginning value Where graph crosses y-axis 2. X-intercept, Zeros, Break-even point: Where graph crosses x-axis 3. f(2)

x y-1 -100 -71 -42 -13 24 5

1. Find and interpret y-intercept 2.Find and interpret Break-even point:

3.Find and interpret zeros

4.Find and interpret f(4) :

5.Find and interpret f(x) = -4:

6.Solve by the graph: 3x – 7 = 2

Profit of Selling Pompoms

# of Pompoms Profit

Y = 3x - 7

Page 10: Height of a Ball 1. Y-intercept: Beginning value Where graph crosses y-axis 2. X-intercept, Zeros, Break-even point: Where graph crosses x-axis 3. f(2)

x 'L1 "L20 3 11 5 3.52 7 63 9 8.54 11 115 13 13.56 15 16

Delivery Charges of 2 Companies

A(x) B(x)

A(x) = 2x + 3B(x) = 2.5x + 1

1. After how many miles will the companies be the same?

2.Explain when each company is a better value.

3.Find and interpret the y-intercept of A(x) and what does it mean?

4. Find and Interpret B(2)

5. When is 2x + 3 = 2.5x + 1

6. When is 2x + 3 = 13?

7. Write the NEXT-NOW equation for B(x)

Page 11: Height of a Ball 1. Y-intercept: Beginning value Where graph crosses y-axis 2. X-intercept, Zeros, Break-even point: Where graph crosses x-axis 3. f(2)

Year Millions of Cars in US1950 6 1955 7.81960 7.3 1965 10.3 1970 10.1 1975 10.8 1980 11.5 1985 15.4 1990 13.5 1995 15.5 2000 17.4 2005 16.9

1. Find and interpret f(1955)

2. Find and interpret f(x) = 17.4

3. When were there 11.5 million cars In the US?

Page 12: Height of a Ball 1. Y-intercept: Beginning value Where graph crosses y-axis 2. X-intercept, Zeros, Break-even point: Where graph crosses x-axis 3. f(2)

Number of Starbucks Outlets

1. Find and interpret f(2000)

2. Find and interpret the y-intercept

3. Find and interpret f(x) = 10000

Page 13: Height of a Ball 1. Y-intercept: Beginning value Where graph crosses y-axis 2. X-intercept, Zeros, Break-even point: Where graph crosses x-axis 3. f(2)

Starting Value Rate Increase or Decrease

Decimal multiply by NEXT=NOW Statement

1st 4 Numbers

$20,000 5% increase 100+5 = 105% =1.05Or 1(20,000) + .05(20,000)

Next=Now*1.05 starting at 20,00

$20,000 5 % decrease

$100 4% interest

95,000 3.5% increase

8,6,4.5,

Next = Now *1.095 starting at $1000

12,20,100/3

x 15% commission