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Steve Moretz · Answer 1 · 2023-05-23T02:33:48+0000

Given the Exponential Function:

$f\mleft(x\mright)=ab^x+c$

You need to remember that when the base of an Exponential Function is:

The function models an exponential growth.

And when:

$0The function models exponential decay.In this case, knowing that the graph has no x-intercept, it has a positive y-intercept, and it also ascends continuously from left to right, you can conclude that it is an Exponential Growth and it ascends continues growing to infinity. Therefore, you can determine that:[tex]\begin{gathered} a>0 \\ b>1 \\ c>0 \end{gathered}$

Hence, the answer is: First option.

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