Calculus

posted by .

How can you tell where on a graph f is discontinuous? What are the criteria?

  • Calculus -

    usually there will be a fraction involved. Wherever the denominator is zero, f(x) will be undefined.

    Or there may be a square root or logarith. f(x) not defined when the radicand is negative.

    In general, look for values where f(x) is not defined; it is discontinuous there.

  • Calculus -

    What if there isn't a fraction at all and it's just a graph with a function on it? My homework doesn't have a given expression of a function just a graphical representation of it.

  • Calculus -

    If all you have is the graph, then if there are any vertical asymptotes or holes in the graph, that's where f(x) is discontinuous.

    I mean, jeez. you must have an intuitive feel for what "continuous" means. Math usually tries to use words that already have meaning.

  • Calculus -

    Alright I was clarifying since it's going to be graded. Doesn't hurt, does it?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus- continuity

    Discuss the continuity of f(x)= sin x/x^2 - 9 That is, state where is it continuous/discontinuous and why. Here was my original answer. sinx is cont. because it's a trig function. It's cont. at -2pi, pi, -pi, and 2pi. x^2 is cont. …
  2. Calculus

    An electrical circuit switches instantaneously from a 2 volt battery to a 20 volt battery 3 seconds after being turned on. Sketch on a sheet of paper a graph the battery voltage against time. Then fill in the formulas below for the …
  3. Calculus Quiz Today

    1. find the values of s for which each function is continous: f(x) = [ x if x less than or equal to 1] [2x-1 if x greater than 1] 2. determine all values of x at which the function is discontinuous: f(x) = (x^2-2x)/(x^2-3x+2) Could …
  4. Calculus

    Determine all values of x for which each function is discontinuous. F(x)= 3x+4 / 4x^2 - 2x -2
  5. Calculus

    determine where f(x)={x^2-5x+6/x-3, if x<3 {1/x-2, if x>3 is discontinuous.
  6. Calculus

    Determine the values of x, if any, at which each function is discontinuous. At each number where f is discontinuous, state the condition(s) for continuity that are violated. f(x)= x+5 if x is less than or =0 -x^2+5 if x>0
  7. calculus

    Determine the values of x, if any, at which each function is discontinuous. At each number where f is discontinuous, state the condition(s) for continuity that are violated. f(x) = x+5 if x<0 = 2 if x=0 = -x^2+5 if x>0
  8. calculus

    An electrical circuit switches instantaneously from a 3 volt battery to a 23 volt battery 6 seconds after being turned on. Sketch on a sheet of paper a graph the battery voltage against time. Then fill in the formulas below for the …
  9. psy

    Psychologists generally agree that developmental change is characterized by (Points : 1) mostly continuous development. mostly discontinuous development. both continuous and discontinuous development. neither continuous nor discontinuous …
  10. calculus

    Suppose h(x) = f (g(x)) and the graphs of f and g are shown below. Describe the continuity of h at x = 0. how would you do this if you were given two graphs: F--- discontinuity at -2,0; point at -1,1; and point at 0,0 (to make a parabola) …

More Similar Questions