Graphs of Exponential Functions

Discussion in 'Other Pre-University Math' started by nycmathguy, Oct 8, 2021.

  1. nycmathguy

    nycmathguy

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    Section 3.1

    20211008_030545.jpg

    The graph of g(x) = 4^x appears to be steeper than the graph of f(x) = 2^x. Any particular reason for this change in terms of steepness? I guess what I'm trying to say is that the graph of g(x) increases faster than the graph of f(x). Why?
     
    Last edited: Oct 8, 2021
    nycmathguy, Oct 8, 2021
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  2. nycmathguy

    MathLover1

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    Exponential Function
    ƒ(x) = b^x
    The larger the base b, the stepper/faster the increase.
     
    MathLover1, Oct 8, 2021
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  3. nycmathguy

    nycmathguy

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    Say we have two exponential functions:

    g(x) = 7^(x) and h(x) = 14^(x).

    You are saying that h(x) is steeper and faster as it increases because 14 > 7.

    Yes?

    However, both functions increase without bound.

    Yes?
     
    nycmathguy, Oct 8, 2021
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  4. nycmathguy

    MathLover1

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    yes
     
    MathLover1, Oct 8, 2021
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  5. nycmathguy

    nycmathguy

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    Very good. I truly hope not to be bombarding you with too many math questions. In fact, how many questions is enough for you per day?
     
    nycmathguy, Oct 8, 2021
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