math

1.How is the maximum or minimum point of the original quadratic function related to the maximum or minimum point of its reciprocal function?

2.How can you use the leading coefficient of the original quadratic function to tell you whether its reciprocal will have a maximum or minimum.

3.Explain how you can tell the end behaviour of the reciprocal of a quadratic function from the graph of the original quadratic function?

4.Explain how to use the graph of a reciprocal function to solve an inequality.

  1. 👍 0
  2. 👎 0
  3. 👁 105
asked by steven
  1. someone do it fast please i need it tomorrow, please do it.

    1. 👍 0
    2. 👎 0
    posted by steven
  2. 1. Think about reciprocals. 1/x is smaller if x is larger. So, a max of f(x) is a min for 1/f(x)

    2. If the leading coefficient is positive, f(x) has a minimum (the parabola opens upward), and vice-versa for negative.

    3. Since a parabola grows without bound, its reciprocal shrinks without bounds - that is, approaches zero.

    4. Think of a parabola, with a line drawn across it. If the parabola is above the line, its reciprocal will be below the line.

    visit wolframalpha.com and play around with some functions, and see what the graphs look like. Just type in the function and it will display the graph, as well as other information.

    1. 👍 0
    2. 👎 0
    posted by Steve
  3. thanks

    1. 👍 0
    2. 👎 0
    posted by steven
  4. steve can you please email me i have a question for you

    1. 👍 0
    2. 👎 0
  5. steve can you please email me i have a question for you, brar.09hotmai

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra- Maximum and minimum.

    I don't understand how to find the maximum and minimum. Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. 15.f(x) = -x2 + 2x - 4 20.f(x)

    asked by Niki on October 13, 2007
  2. algebra

    determine the given quadratic function has a minimum valueor maximum vale. Then find the coordinates of the minimum or maximum point. f(x)=x^2=2x-9

    asked by joe on February 4, 2013
  3. math

    Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.f(x) = x2 + 2x - 9

    asked by Deborah on February 10, 2014
  4. ALGEBRA

    Determine whether the quadratic function has a minimum or maximum value.Then find the coordinates of the minimum or maximum point. f(x)=2x^2-4x

    asked by ANONYMOUS.... on March 3, 2009
  5. Maximum and Minimum

    Its been awhile since I have done compleating the square, can you please help me? Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.

    asked by Niki on October 14, 2007
  6. calculus

    there are no examples of this type of problem in my book so if you could help walk me through it - that would be extremely helpful. thanks ahead of time. Find the extreme values of the function on the interval and where they

    asked by K.T. on December 15, 2014
  7. Algebra

    Find the vertex, the line of symmetry, the maximum or minimum of the quadratic function, and graph the function. f(x)=x^2-4x-3 What is the vertex? (Type an ordered pair) What is the equation of the line of symmetry? x= What is the

    asked by Mary on August 20, 2010
  8. algebra(reiny)

    Hey thanks for all your help but you kinda confused me on a few: 1)Determine whether f(x)=-5x^2-10x+6 has a maximum or minimum value and find that value A.minimum -1 B.maximum 11 C.maximum -1 D.minimum 11 and you said the function

    asked by Marissa on August 16, 2007
  9. Algebra2

    Complete parts a – c for each quadratic function: a. Find the y-intercept, the equation of the axis of symmetry and the x- coordinate of the vertex. b. Make a table of values that includes the vertex. c. Use this information to

    asked by Mara on February 8, 2008
  10. calculus

    Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not exist, enter DNE.) f(x) = square root of (25 − x^2) (a) [−5, 5] minimum (x, y) = (smaller x-value) (x, y) = (larger x-value)

    asked by Sagar on April 5, 2016

More Similar Questions