Given the Exponential Function:
[tex]f\mleft(x\mright)=ab^x+c[/tex]
You need to remember that when the base of an Exponential Function is:
[tex]b>1[/tex]
The function models an exponential growth.
And when:
[tex]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}[/tex]
Hence, the answer is: First option.
