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    Hi, if anyone is familiar with Edexcel FP2 can you tell me if it is likely we would be needed to sketch graphs such as:

    y=2e^(1/2(x)^2)

    y= rt(x^2+16) - 4

    As part of a differentiation question when we are asked to sketch some of the family of solution curves. If so, could you also help me as to how you should go about it.

    Thanks very mcuh
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    (Original post by 111davey1)
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    Don't know if you need to know or not, but you should be familiar with graph sketching for these types of functions.

    Firstly identify where x and y axis intersections, then find the stationary points, determine which ones are min/max, find any asymptotes + the graph's behaviour around them.

    For y=\sqrt{x^2+16}-4 the min point is straight away at (0,0) by saying (y+4)^2=x^2+16 \Rightarrow 2y'(y+4)=2x and y' = 0\Rightarrow x=0 \Rightarrow y=0. As x \rightarrow \pm \infty you have y\rightarrow \infty thus no horizontal asymptotes. No vertical asymptotes either as the function is defined \forall x \in \mathbb{R}.

    Etc...
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    (Original post by RDKGames)
    Don't know if you need to know or not, but you should be familiar with graph sketching for these types of functions.

    Firstly identify where x and y axis intersections, then find the stationary points, determine which ones are min/max, find any asymptotes + the graph's behaviour around them.

    For y=\sqrt{x^2+16}-4 the min point is straight away at (0,0) by saying (y+4)^2=x^2+16 \Rightarrow 2y'(y+4)=2x and y' = 0\Rightarrow x=0 \Rightarrow y=0. As x \rightarrow \pm \infty you have y\rightarrow \infty thus no horizontal asymptotes. No vertical asymptotes either as the function is defined \forall x \in \mathbb{R}.

    Etc...
    Thanks very much
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    (Original post by 111davey1)
    Hi, if anyone is familiar with Edexcel FP2 can you tell me if it is likely we would be needed to sketch graphs such as:

    y=2e^(1/2(x)^2)

    y= rt(x^2+16) - 4

    As part of a differentiation question when we are asked to sketch some of the family of solution curves. If so, could you also help me as to how you should go about it.

    Thanks very mcuh
    RDK has given guidance on how to sketch them.

    I've asked Edexcel for you about whether this is 'on-spec' though. I'd suspect not, because the limit in C3 for exponentials is  y = e^{ax+b} , but I'll update you when they reply
 
 
 
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