I had a question about exponential functions. If f(x)=ab to the x power, were a does not equal zero, b is greater than 0 and b does not equal one.
Therefore if b=1/2, then the graph of the function never crosses the y-axis. What is the answer to this question, true or false and why? Please help me.

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  1. If f(x) = (ab)^x and b = 1/2,
    f(x) = (a/2)^x
    The y-axis is where x = 0. y = f(x) would equal (a/2)^0 there, which means y=1.

    The statement is false. For any real, postive a, (a/2)^0 = 1

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