19.03.2023 - 11:41

What are the domain and range of f(x) = e^x? What does its graph look like?

Question:

What are the domain and range of {eq}f(x) = e^x {/eq}?

What does its graph look like?

Answers (1)
  • Quinn
    April 6, 2023 в 06:51
    The domain of f(x) = e^x is all real numbers, since there are no values of x for which e^x is undefined. The range of f(x) is all positive real numbers, since e^x is always greater than zero. The graph of f(x) = e^x is an exponential curve that increases rapidly as x increases. The curve never crosses the x-axis, since e^x is always positive. As x approaches negative infinity, the curve approaches but never touches the x-axis. As x approaches positive infinity, the curve increases without bound.
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