Math

posted by .

For the function y= (ax+b)/(cx+d) write the intervals where the function is increasing and intervals where it is decreasing.
X intercept= -b/a
Y intercept= b/d
Vertical asymptote: x=-d/c
Horozontal asymptote: a/c

  • Math -

    your answeres are correct so far.

    for the increasing/decreasing part,

    find dy/dx
    I got (-c((ax+b) + a(cx+d))/(cx+d)^2

    = (ad - bc)/(cx + d)^2

    since the denominator is always ≥ 0
    we only have to look at the top

    for the function to increase , dy/dx > 0
    ad - bc > 0

    for the function to decrease,
    ad - bc < 0

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. pre calculus

    Use the following conditions to create a sketch of the function by hand. a. vertical asymptote at x=3 b. x-intercept of 1 and 5 c. f(2)=f(4)=f(6)=3 d. increasing on [0,3) and [5,infinity) e. decreasing on (3,5] f. f(x) is an odd function …
  2. Math

    Analyze the function algebraically. List its vertical asymptotes, holes, y-intercept, and horizontal asymptote, if any. q(x)= -4/x-2 vertical asymptote= hole= horizontal asymptote= y-intercept=
  3. math

    how do you create a function that has a graph with the given features: a. A vertical asymptote at x=2; a horizontal asymptote at y=0; no x-intercept; y-intercept is 3 please help.
  4. math

    how do you create a function that has a graph with the given features: a. A vertical asymptote at x=2; a horizontal asymptote at y=0; no x-intercept; y-intercept is 3
  5. math help please

    Consider the function g(x)=x/x-7. a) Determine an equation for the vertical asymptote. b) State the domain. c) Determine an equation for the horizontal asymptote. d) State the range. e) Sketch the function. ( i will do it) f) Summarize …
  6. PreCalculus

    State the Vertical Asymptote, Horizontal Asymptote, domain, range, x intercept and y intercept for the following Function. y= (5-x)/(x+3) I already know that the Vertical asymptote is -3, so that means the domain is everything except …
  7. Algebra - functions

    Given the function: f(x) = 5/(x-1)^2 Find the Horizontal Asymptote: Vertical Asymptote: Hole(s): X intercept: Y intercept:
  8. Rational Functions

    Write an equation for a rational function whose graph has the following properties: x-intercept of 3 y-intercept of -3 vertical asymptote of x=-2 horizontal asymptote of y=2
  9. Pre-Calc/Trig...

    Write a function with the following characteristics: A vertical asymptote at x=3 A horizontal asymptote at y=2 An x-intercept at x=-5
  10. Math

    Write the equation of a rational function in the form of 𝑓(𝑥) = 𝑎𝑥+𝑏/𝑐𝑥+𝑑 if the vertical asymptote is x =5, the horizontal asymptote is y=2, the x-intercept is (-1/2 …

More Similar Questions