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    When function f(x) becomes not continuous, does it mean that the input of x will not have an out put of y? or does it mean that one input will result in multiple outputs, i.e one-to-many function? This is for iteration formula btw, i was interested what discontinued function would look like
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    think of a continuous function as an infinite collection of connected dots.
    so a fn which is not cts will have a gap.

    y=tan(x) is not continuous. nor is y=1/x.
    I'm sure you can consider other functions which are similarly non-cts.
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    I realised that but i elaborated that idea slightly further. my idea is that if there is no output for some value of x, then the graph will have a gap (discontinuation). for instance, your function y=1/x will not have an output if x=0 and hence the gap. Idk how true my idea is though
    (Original post by begbie68)
    think of a continuous function as an infinite collection of connected dots.
    so a fn which is not cts will have a gap.

    y=tan(x) is not continuous. nor is y=1/x.
    I'm sure you can consider other functions which are similarly non-cts.
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    (Original post by Iconic_panda)
    I realised that but i elaborated that idea slightly further. my idea is that if there is no output for some value of x, then the graph will have a gap (discontinuation). for instance, your function y=1/x will not have an output if x=0 and hence the gap. Idk how true my idea is though
    yes, of course there is a 'gap'.
    Another type is a 'step' function.
    eg, y=1 for 0<=x<=1 , and , y=0 for 1<x<=2, and then repeat for every step of x-interval of 1.
    (you might try to generate a function which would look like this?!)
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    oh yeahhh like a acceleration-time graph right?
    (Original post by begbie68)
    yes, of course there is a 'gap'.
    Another type is a 'step' function.
    eg, y=1 for 0<=x<=1 , and , y=0 for 1<x<=2, and then repeat for every step of x-interval of 1.
    (you might try to generate a function which would look like this?!)
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    (Original post by Iconic_panda)
    oh yeahhh like a acceleration-time graph right?
    Yes. v-t graph of a ball bouncing is a good one.
    Also, oscilloscope output of a binary (or decimal) input
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    alright thanks
    (Original post by begbie68)
    Yes. v-t graph of a ball bouncing is a good one.
    Also, oscilloscope output of a binary (or decimal) input
 
 
 
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