Which is true of f(x) = e^x on R?

Question 13

MediumOriginal question

Which is true of $f(x) = e^{x}$ on $\mathbb{R}$ ?

Its minimum value is 0Correct answerYour answerIts minimum value is 1Correct answerYour answerIt has a maximum value but no minimum valueCorrect answerYour answerIt has neither a maximum nor a minimum valueCorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

$e^{x}$ grows without limit, so there is no maximum.
It comes as close to 0 as we like but never reaches it, since $e^{x} > 0$ ; so no value is the least.

Worth noting

0 is a bound that is never reached, so it is not a minimum value; 1 is only $f(0)$ .

Concept: A function with no maximum or minimum
Typical timeTypical: 90 s
Your timeYours: —

The rule this testsMaximum and minimum values

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Which is true of f(x)=exf(x) = e^{x}f(x)=ex on R\mathbb{R}R?

Explanation

Which is true of $f(x) = e^{x}$ on $\mathbb{R}$ ?