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Math Help - True or False equation X = a ... ?

  1. #1
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    True or False equation X = a ... ?

    Hi all

    1 : True or False and why ? : Equation X = a defines a function with independent variable X ?

    2 : what the vertex of the parabola y= 1/2(x+3)^2 + 8 is ?

    3 - the graph of exponential function f(x) = b^x where b>0 and b dont = 1 will pass through :

    a) - (0,0) b) - (1,1 ) c) - ( 0,1 ) d) - (0,1)

    I don't want the answer only also I need to explain the solving

    thanks
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  2. #2
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    Quote Originally Posted by r-soy View Post
    Hi all

    1 : True or False and why ? : Equation X = a defines a function with independent variable X ?

    what does the graph of "x = a" look like? does it pass the vertical line test for a function?

    2 : what the vertex of the parabola y= 1/2(x+3)^2 + 8 is ?

    y = a(x-h)^2 + k has its vertex at (h,k)

    3 - the graph of exponential function f(x) = b^x where b>0 and b dont = 1 will pass through :

    a) - (0,0) b) - (1,1 ) c) - ( 0,1 ) d) - (0,1)

    f(0) = b^0 = ?

    I don't want the answer only also I need to explain the solving

    thanks
    ...
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  3. #3
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    Hi skeeter I don't understand number 3 clearly is it possible explain more
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  4. #4
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    Quote Originally Posted by r-soy View Post
    Hi skeeter I don't understand number 3 clearly is it possible explain more
    \left(\frac{1}{3}\right)^0 = 1

    \left(\frac{1}{2}\right)^0 = 1

    2^0 = 1

    3^0 = 1


    if b > 0 and b \ne 1 , then b^0 = ?
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  5. #5
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    Quote Originally Posted by r-soy View Post
    Hi all

    3 - the graph of exponential function f(x) = b^x where b>0 and b dont = 1 will pass through :

    a) - (0,0) b) - (1,1 ) c) - ( 0,1 ) d) - (0,1)

    I don't want the answer only also I need to explain the solving

    thanks
    b^x is never equal to 0. Can you solve b^1= 1?
    c) and d) appear to be the same! Are you sure you copied the problem correctly?
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  6. #6
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    Quote Originally Posted by HallsofIvy View Post
    b^x is never equal to 0. Can you solve b^1= 1?
    c) and d) appear to be the same! Are you sure you copied the problem correctly?

    yes.
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