MTH1014 Quiz 5

Fall 2013
Herbert J. Bernstein ( )

MTH1014 Quiz 5
Fall 2013

 		 

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This is quiz 5 to be taken by Tuesday, 15 March 2013. It should take you between half an hour and 2 hours to answer the following questions. You should do this quiz after doing the rest of assignment 5'.

  <==== Do this AFTER you've answered all the questions

You probably DON'T want to do this ===>  

Please fill in the following information:

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Please answer the following questions on this form (or on a paper copy of this form).


  1. Carefully, and in detail, using words, no picture, explain how to graph a linear function.

  2. Consider the linear function f(x) = -472*x + 23. What is the average rate of change of this function?

  3. Consider a function g(x) for which we know that g(3) = 4, g(4) = 5 and g(5) = 7. Is g(x) a linear function of x? Explain the reason for your answer.

  4. Consider the functions h1(x) = -17*x+48 and h2(x) = 17*x - 48. Is h1(x) an increasing, decreasing or constant function? Is h2(x) an increasing, decreasing or constant function? Explain your answers.

  5. Using any tools that are appropriate -- scrap paper, graphing calculator, or trial and error, solve the following problem exactly: If the supply curve for widgets produced per month in terms of price, p, is S(p) = 12*p -5, and the demand curve for widgets sold per month in terms of price, p, is D(p) = -3*p + 55. What is the equilibrium price. Even though you may not be able to show your work, be sure to explain in words how you got your answer and how you know it is right. Hint: The answer is a whole number.

  6. Consider the following (x,y) coordinate pairs: (0,1), (1,2), (2,4), (3,2), (4,3), (5,7). Using the first and last points of this scatter diagram, compute the equation of a line through those two points, Them using the second and next-to-last points, computer the equation of a line through those two points. Finally, looking at all the points of the scatter diagram, using any tools you think appropriate, estimate the line of best fit to the scatter diagram. Discuss your three answers and explain which one you think best and why. Give this question a lot of thought. A similar question will be a large chunk of the midterm.

  7. Given the quadratic function u(x) = 3*x2 -5*x+13, compute the vertex, the axis and the intercepts of this function. Show your work. Give this question a lot of thought. A similar question will be a large chunk of the midterm.

  8. If the vertex of a parabola is (0,-1) and (1,10) is a point on the parabola, what is the equation of that parabola?

  9. Determine whether the quadratic function f(x) = -6*x2+3*x-12 has a maximum or a minimum and what the value of that maximum or minimum is. Show your work.

  10. If, when firing a projectile from a pit 10 feet below ground level at a 45 degree angle with a muzzle velocity of 32 feet per second, the height of the projectile is given by h(x) = -32*x2/(322) + x - 10, find the maximum height of the projectile and the distance from the pit that the projectile will strike the ground, assuming the ground is perfectly flat outside the firing pit.

  11. Using interval notation, where is 4*x2 < 8*x+4?

  <==== Do this AFTER you''ve answered all the questions

You probably DON'T want to do this ===>  

Revised 4 March 2013