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shahzadjalbani

  • 2 years ago

What is Exponential Function and how to draw it's graph?

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  1. ParthKohli
    • 2 years ago
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    \( \color{Black}{\Rightarrow f(x) = 3^x }\) This is an example.

  2. nbouscal
    • 2 years ago
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    Exponential function is \(f(x)=e^x\). The graph is here: http://www.wolframalpha.com/input/?i=graph+e%5Ex

  3. shahzadjalbani
    • 2 years ago
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    Explain please.

  4. ParthKohli
    • 2 years ago
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    First make a table: \(\begin{matrix} f(x) & x \\ 1&3 \\ 2 &9 \end{matrix}\) Etc. and then just plot a parabola

  5. nbouscal
    • 2 years ago
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    Not a parabola, parth. Parabola is an even function, exponential functions are not.

  6. ParthKohli
    • 2 years ago
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    Oh

  7. ParthKohli
    • 2 years ago
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    Plot whatever :P

  8. shahzadjalbani
    • 2 years ago
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    Can you explain some properties of exponential function like domain range @ParthKohli and @nbouscal

  9. ParthKohli
    • 2 years ago
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    Domain is the input, range is the output. Though my nathan would be the best if you want to go into the detail :P

  10. nbouscal
    • 2 years ago
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    The range of exponential functions is \(\{y:y>0\}\). Domain should be the whole real line.

  11. shahzadjalbani
    • 2 years ago
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    I mean domain and range of exponential functions @ParthKohli

  12. nbouscal
    • 2 years ago
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    Well actually I have to clarify that answer. If you're talking about the exponential function, \(e^x\), my answer is correct. If you're talking about the whole family of exponential functions it might not be correct, there are some weird cases possible I think. Not entirely sure.

  13. shahzadjalbani
    • 2 years ago
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    yes I want to know general characterstics @nbouscal

  14. Calcmathlete
    • 2 years ago
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    Exponential functions are functions in which the variable is in the exponent. They generally have the appearance of a horizontal line that starts to slowly curve upwards to the point it's almost a vertical line.

  15. Calcmathlete
    • 2 years ago
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    These are all examples.

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