Respuesta :

I think the correct answer from the list of choices above is the second option. However, the second choice should contain the exponent sign(^). The correct function should be  f(x) = 3^(x + 3). The graph given shows an exponential growth so the equation should as well be an exponential one.

using a graph tool

I proceed to graph each case to determine the solution


case A) [tex] f(x)=3^{x}-3 [/tex]

see the attached figure N 1------> is not the solution


case B) [tex] f(x)=3^{(x+3)} [/tex]

see the attached figure N 2--------> is the solution


case C) [tex] f(x)=3^{x} [/tex]

see the attached figure N 3-----> is not the solution


case D) [tex] f(x)=3^{x}+3 [/tex]

see the attached figure N 4-----> is not the solution


therefore


the answer is the option

case B) [tex] f(x)=3^{(x+3)} [/tex]

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