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Math Help - find value of f(2) given graph

  1. #1
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    find value of f(2) given graph

    (1 pt) Book Exercise 1



    The graph of a function is given. ( Click on the picture to enlarge it )

    a) The value of is .

    b) The value of is .

    c) For what non-zero value of is ?.

    d) State the range of as an interval. .

    e) On what open interval is increasing? .

    If needed enter as - INF and as INF.
    You might need to use brackets [ ] for closed intervals and parenthesis ( ) for open intervals.
    Note: You can earn partial credit on this problem.

    Can someone explain how to calculate f(2)? Thanks
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  2. #2
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    Quote Originally Posted by juventinoalex View Post
    (1 pt) Book Exercise 1



    The graph of a function is given. ( Click on the picture to enlarge it )

    a) The value of is .

    b) The value of is .

    c) For what non-zero value of is ?.

    d) State the range of as an interval. .

    e) On what open interval is increasing? .

    If needed enter as - INF and as INF.
    You might need to use brackets [ ] for closed intervals and parenthesis ( ) for open intervals.
    Note: You can earn partial credit on this problem.

    Can someone explain how to calculate f(2)? Thanks

    Hi juventinoalex,

    How did you calculate f(0) ?

    To find f(2), look at your graph and see what the value of y is on the curve when the value of x is 2.

    y = f(2)

    (2, f(2))

    If you want to define the equation of the parabola, you could use a point on the curve.

    You can see the vertex is at (2, -1).

    Use f(x)=a(x-h)^2+k, vertex (2, -1) for (h, k), and some other point on the curve find that a = 1. Then the equation becomes:

    f(x)=(x-2)^2-1

    Now, to find f(2):

    f(2)=(2-2)^2-1

    f(2)=-1




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