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Only one of the following statements is true of the exponential function f(x) =

ID: 3427626 • Letter: O

Question

Only one of the following statements is true of the exponential function f(x) = e^x. a. y rightarrow 0 as x rightarrow -infinity and y rightarrow infinity as x rightarrow infinity b. y rightarrow infinity as x rightarrow -infinity and y rightarrow 0 as x rightarrow infinity c. y rightarrow infinity as x rightarrow -infinity and y rightarrow infinity as x rightarrow infinity d. y rightarrow 0 as x infinity and rightarrow -infinity as x rightarrow -infinity e. rightarrow 0 as x rightarrow -infinity and y rightarrow -infinity as x rightarrow infinity

Explanation / Answer

y=ex

To check the end behaviour of this function,the best option is to graph the equation.

And from the graph,we can say that as x->- infinity,y->0 and as x-> infinity,y -> infinity

Therefore the correct option is a