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Math Help - Sum of two functions (graphs)

  1. #1
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    Sum of two functions (graphs)

    This is not from a test; I'm not cheating. It's from a sample test. I take the actual test on Friday, and I haven't seen those questions.
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  2. #2
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    Re: Sum of two functions (graphs)

    I think option A is a pretty good answer but what is your guess? How did you arrive at it?
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    Re: Sum of two functions (graphs)

    Quote Originally Posted by jbwtucker View Post
    This is not from a test; I'm not cheating. It's from a sample test. I take the actual test on Friday, and I haven't seen those questions.
    g(x)=ax^2 (a>0)

    f(x)=mx (m>0)

    So, what can you tell me?
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  4. #4
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    Re: Sum of two functions (graphs)

    Right. And they look like parent functions, so I'm guessing g(x)=x^2 and f(x)=x, or something close to it. So adding them together yields x^2 + x, which is still a parabola, just a steeper one.

    As we head towards negative numbers, the value of y should shift down... until |x| is a big enough number that squaring it outweighs adding a negative x-value and sends it back into quadrant 2.

    Which means it's A.

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