calculus

graph this function and determine the domain,range and vertical asymptote.

f(x)=In(4-x) no need to graph just assist with points

  1. 👍
  2. 👎
  3. 👁
  1. Here is a nice little page that will give you a quick graph
    Just type
    log(4-x) into the first window, and click on "Draw"
    http://rechneronline.de/function-graphs/

    Remember, we can only take log of positive numbers
    so 4-x > 0
    -x > -4
    x < 4
    So there is a vertical asymtpote at x = 4
    the domain is x < 4
    range: y ∊ R

    to get the graph, on your calculator find some critical points, e.g.
    x = 3.999 -- (3.999 , -6.9)
    x = 0 ---- (0, 1.39)
    x = 3 --- (3 , 0)
    x = -5 --- (-5 , 2.2)
    x = -1000 --- (-1000 , 6.9) ---> just to show what happens at the far left.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    Can someone check my answers please and if Im wrong please explain. 1) graph 4x^2+4y^2=64. what are the domain and range? domain;all real numbers range;-4

  2. algebra

    The graph of a quadratic function with vertex (3,-1). Find the range and the domain. write the range and domain using interval notation.

  3. Precalculus

    The function f has a domain of [0,5]and a range of [0,3]. Start by sketching a potential graph of f. Suppose the function k is defined as k(x)=f(x−3). Determine the domain and range of k. Domain: Range:

  4. Math

    If x=1 is the vertical asymptote and y=-3 is the horizontal asymptote for the graph of the function f which of the following could be the equation of the curve A.f(x)=(-3x^2)/(x-1) B.f(x)=-3(x-1)/(x+3) C.f(x)=-3(x^2-1)/(x-1)

  1. Calculous

    the figure shows the graph of F', the derivative of a function f. the domain of the function f is the set of all X such that -3< or equal to x

  2. Algebra

    1. Graph the function and identify the domain and range. y=-5x^2 oo=infinite A) Domain: (-oo, oo) Range: [0, oo) B) Domain: (-oo, oo) Range: (-oo, 0] C) Domain: (-oo, oo) Range: (-oo, 0] D) Domain: (-oo, oo) Range: [0, oo) 2. How

  3. Gr.11 - Rational functions graphing.

    1. Identify a rational function whose graph is a horizontal line except for two holes. Graph the function. 2. Identify a rational function who graph lies entirely above the x-axis and has a single vertical asymptote. Graph the

  4. Calculus AB

    Let f be the function that is given by f(x)=(ax+b)/(x^2 - c). It has the following properties: 1) The graph of f is symmetrical with respect to the y-axis 2) The graph of f has a vertical asymptote at x=2 3) The graph of f passes

  1. Algebra

    write an equation for a rational function that has a vertical asymptote of -4, a horizontal asymptote of 3, and vertically shrinks the graph by a factor of 5 (compared to the graph of y=1/x). So far I have Y=3x/x+4 but I can't

  2. pre cal

    f(x) = two divided by quantity x squared minus two x minus three Graph A coordinate axis scaled by one. Domain and Range : _____________________ x and y Intercept(s) : _____________________ Horizontal Asymptote(s) :

  3. Maths

    Given the equation y=2x-4 of an exponential function f 1)write down the equation of horizontal asymptote of f 2)determine the y intercept of f 3)determine the y value of a point on f with x=-2 4)draw the graph of the function of f

  4. Math(Reiny Could You Help?)

    The graph of the function g(x) has the same shape and direction of opening as the graph of f(x)= 3(x-2)^2+9. The graph of g(x) has a vertex that is 2 units to the right and 5 units down from the vertex of the graph of f(x). A.)

You can view more similar questions or ask a new question.