Question

Which function is represented by the graph below?

f(x) = 3x – 3
f(x) = 3(x + 3)
f(x) = 3x
f(x) = 3x + 3

Answer 1

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.

Answer 2

using a graph tool

I proceed to graph each case to determine the solution

case A)
`f(x)=3^(x)-3`

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

case B)
`f(x)=3^((x+3))`

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

case C)
`f(x)=3^(x)`

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

case D)
`f(x)=3^(x)+3`

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

therefore

the answer is the option

case B)
`f(x)=3^((x+3))`