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Graph: 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 2 , find the y value 4. f(x) = 4: y value is 4 find the x value 5. Increasing: The x-values where the graph is going up

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Graph: Height of a Ball

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  1. 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 2, find the y value 4. f(x) = 4: y value is 4 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: ( , ) Graph: Height of a Ball Height (ft) Time (Sec)

  2. Profit from Sally’s Lemonade Stand 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 ($) Number of Glasses Sold

  3. 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? Projected Profit of Concert Based on Ticket Price Profit (Hundred’s of Dollars) Cost of Ticket ($)

  4. 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 Cost of Cab Rides Company A A(x) = x + 5 Company B B(x) = 3x + 1 Fare ($) Miles

  5. 1. Find and Interpret 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 (x) 0 1 2 3 4 5 Profit (y) -2 0 2 4 6 8 Equation: y = 2x - 2

  6. 7) When is the graph increasing? ____________________________ 8) When is the graph decreasing? _____________________________ 9) What is the maximum height? _____________________________ 3) Find and interpret the y-intercept?________________________________________

  7. What is the domain and range? • Is it a function? Explain • Find and interpret f(2) • Find and interpret f(8) • Find and interpret f(x) = 20? • Find and interpret f(x) = 46? • How does your answer to #6 relate to your range? • Suppose that the swing started 10 feet higher. What would f(3) become? • Explain how the answer to #8 is equivalent to f(3) + 10.

  8. 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? Stair Stories Climbed by Two Climbers A(x) =(1/2)x + 5 B(x) =x + 2 Stories Time (minutes)

  9. 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 table: 3x – 7 = 2 Profit of Selling Pompoms # of Pompoms (x) Profit (y) -1 -10 0 -7 1 -4 2 -1 3 2 4 5 Equation: Y = 3x - 7

  10. 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) Delivery Charges of 2 Companies x A(x) B(x) 0 3 1 1 5 3.5 2 7 6 3 9 8.5 4 11 11 5 13 13.5 6 15 16 A(x) = 2x + 3 B(x) = 2.5x + 1

  11. Millions of Cars in US Year 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? 1950 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

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