Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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2a. State the domain and range of the relation shown. Is the relation a function?
b. What is the inverse of the linear function ?(?)= 2/3x - 6
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- Members of a local band hold a bake sale to raise money. They sell their baked goods on blue and white paper plates. Each blue plate costs $5 and each white plate costs $3. The band raises $430 from their bake sale. Elise wants to sketch a graph of the linear function that relates the possible number of blue plates sold, x, to the possible number of white plates sold, y. Which THREE statements are TRUE regarding the graph that Elise will sketch? A) The graph will not have an x-intercept. B) The graph will decrease over its entire domain. C) The graph will show only x- and y-values that are positive. D) The graph will have an x-intercept of 86, the maximum possible number of blue plates sold. E) The graph will have a y-intercept of 143, the maximum possible number of white plates sold. F) The graph will show that as the number of white plates sold increases, so will the number of blue plates sold.arrow_forwardC. Instruction: Identify which of the following is a Function or a mere Relation. Identify also if what type of relation are the following. 1. (9,0); (3,1); (4,2) 2. (0,1); (2,1); (4,1) 3. (6,1); (2,6): (6,6) 5. C VA 6. y=x²+2x+1 7. y² = 4x-2 8. y²=x²-x²-2x-1 9. x²-2x+1=y\ 10. Outpe Barrow_forwardX5. A movie theater has a discount for groups of 15 or more people and determines the price per person according to the formula Price = 8-0.15(n-15), where price is given in dollars and n is the number of people. a. Write the revenue R for the movie theater as a function of n. b. Use the function from part (a) to complete the table. What can you conclude from this table? (b) (- 15 30 40 50 60 800 n R(n) ≥ 15arrow_forward
- The manager of a band gets paid $8000 a show, plus 5% commission on the ticket sales of x dollars. Write a linear function that represents the manager’s total pay, P (in dollars), as function of x. Part A: P(x)= Part B: What value of x will result in the manager earning $16000 for a single show? ROUND TO THE NEAREST INTEGERarrow_forwardFill in the blanks outside the table showing the changes in the x- and y-values. Then, answer the questions. 1) a. Is it a linear function? b. Why/Why not? -3 1. -2 -1 3 4 1 5 2) a. Is it a linear function? b. Why/Why not? -5 2 1. -2 4 -1 6 1. 2 8 1. 10 3) -10 a. Is it a linear function? 1. -5 b. Why/Why not? 4 2 5 1. 10 -3 4) y a. Is it a linear function? b. Why/Why not? -1 -9 ]. -4 1. 1 1. 3 7 11 1. 11 15arrow_forwardA football player throws a football as shown by the graph on the right. The horizontal axis represents the distance the ball travels in feet, and the vertical axis represents the height the ball travels above the ground in feet. Use the graph to answer the following questions. 1. Is this a relation or a function? Why? 2. Is this graph linear, quadratic or neither? 3. Highlight the portion of the graph that models the path of the football. 4. Mark the point on the graph when the ball hits the ground. feet 5. How high is the football when it is 3 om away from the football player?arrow_forward
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