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Y-intercept: Beginning value Where graph crosses y-axis

Y-intercept: Beginning value Where graph crosses y-axis X-intercept, Zeros, Break-even point: Where graph crosses x-axis f(2) : X-value is 2, find the y value f(x) = 4: y value is 4 find the x value

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Y-intercept: Beginning value Where graph crosses y-axis

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  1. Y-intercept: Beginning value Where graph crosses y-axis X-intercept, Zeros, Break-even point: Where graph crosses x-axis f(2) : X-value is 2, find the y value f(x) = 4: y value is 4 find the x value Increasing: The x-values where the graph is going up Decreasing: The y-value where the graph is going down Maximum: ( , ) Minimum: ( , ) 3; The height of the ball at 0 seconds Height of a Ball -1 second and 3 seconds 3 feet 1 second x < 1 second x >1 second (1,4) None

  2. Y-intercept Find Break-even point: X-intercept Find and interpret f(5) : Find and interpret f(x) = 8: Increasing: Solve by the graph: 2x – 4 = 10 Profit from Sally’s Lemonade Stand -4; She starts owing $4 2 glasses of lemonade Profit ($) 2 glasses of lemonade $6; She makes 6$ with 5 glasses sold 6; She makes $8 selling 6 Glasses. Always Number of Glasses Sold 7

  3. Initial Value: Break-even point: Find and interpret f(2) : Find and interpret f(x) = 40: Increasing: Find and interpret the maximum: When is -4x2 – 40x – 50 = 20? They lose $5000 if ticket price is $0 Projected Profit of Concert Based on Ticket Price They start making money with Ticket price of $1.50 Profit (Hundred’s of Dollars) They make ~$1800 with a Ticket price of $2 They make $4000 with a ticket price of $3.50 or $6.50 x < $5. Cost of Ticket ($) (5,50); Maximum profit is $5000 when ticket price is $5 At x = $2.10 and $7.8

  4. After how many miles will the companies be the same? Explain when each company is a better value. Find and interpret the y-intercept of A(x) and what does it mean? Find and Interpret B(2) When is 3x + 1 = 4? When is 3x + 1 = x + 5 Cost of Cab Rides 2 miles Company A A(x) = x + 5 B is a better value until 2 miles. After two miles, A is a better value Fare ($) $5. Company A charges $5 for 0 miles Company B B(x) = 3x + 1 $7 Company B charges $7 for 2 miles 1 mile 2 miles Miles

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

  6. Find and Intrepret Y-intercept Find Break-even point: X-intercept Find and interpret f(5) : Find and interpret f(x) = 6: Solve by the table: 2x – 2 = 4 Write the NEXT-NOW equation Profit of Selling Popcorn Bags Profit x L1 0 -2 1 0 2 2 3 4 4 6 5 8 Y1=2x - 2

  7. Y-intercept Find and interpret Break-even point: Find and interpret zeros Find and interpret f(4) : Find and interpret f(x) = -4: Solve by the graph: 3x – 7 = 2 Profit of Selling Pompoms # of Pompoms Profit x 'L1 -1 -10 0 -7 1 -4 2 -1 3 2 4 5 Y = 3x - 7

  8. After how many miles will the companies be the same? Explain when each company is a better value. Find and interpret the y-intercept of A(x) and what does it mean? Find and Interpret B(2) When is 2x + 3 = 2.5x + 1 When is 2x + 3 = 13? Write the NEXT-NOW equation for B(x) Delivery Charges of 2 Companies A(x) B(x) x 'L1 "L2 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

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