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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: (, )
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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 Profit ($) Number of Glasses Sold
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1. Initial Value: 2.Break-even point: 3. Find and interpret f(2) : 4. Find and interpret f(x) = 40: 5. Increasing: 6. Find and interpret the maximum: 7. When is -4x 2 – 40x – 50 = 20? Cost of Ticket ($) Profit (Hundred’s of Dollars) Projected Profit of Concert Based on Ticket Price
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Cost of Cab Rides Miles Fare ($) Company A A(x) = x + 5 Company B B(x) = 3x + 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
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xy 0-2 102 34 46 58 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
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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? _____________________________
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Stair Stories Climbed by Two Climbers A(x) =(1/2)x + 5 B(x) =x + 2 Time (minutes) Stories 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?
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x y -1 -10 0 -7 1 -4 2 -1 3 2 4 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
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x'L1"L2 031 153.5 276 398.5 41111 51313.5 61516 Delivery Charges of 2 Companies A(x)B(x) A(x) = 2x + 3 B(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)
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Year Millions of Cars in US 1950 6 1955 7.8 1960 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?
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Number of Starbucks Outlets 1.Find and interpret f(2000) 2. Find and interpret the y-intercept 3. Find and interpret f(x) = 10000
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Starting ValueRate Increase or Decrease Decimal multiply byNEXT=NOW Statement 1st 4 Numbers $20,000 5% increase 100+5 = 105% =1.05 Or 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
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