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)

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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: (, )

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

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

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

xy 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

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? _____________________________

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?

x y 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

x'L1"L Delivery Charges of 2 Companies A(x)B(x) A(x) = 2x + 3 B(x) = 2.5x 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 When is 2x + 3 = 13? 7. Write the NEXT-NOW equation for B(x)

Year Millions of Cars in US Find and interpret f(1955) 2. Find and interpret f(x) = When were there 11.5 million cars In the US?

Number of Starbucks Outlets 1.Find and interpret f(2000) 2. Find and interpret the y-intercept 3. Find and interpret f(x) = 10000

Starting ValueRate Increase or Decrease Decimal multiply byNEXT=NOW Statement 1st 4 Numbers $20,000 5% increase = 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, % increase 8,6,4.5, Next = Now *1.095 starting at $ ,20,100/3 x 15% commission