The question is .which of the following shows the table representation of the exponential function f(x)=5 times 2^x? I just need a brief explanation with the answer

The question is which of the following shows the table representation of the exponential function fx5 times 2x I just need a brief explanation with the answer class=


Answer :

[tex]f(x)=5(2)^x[/tex]

Therefore,

[tex]\begin{gathered} f(x)=5(2)^x \\ x=0,f(x)=5(2)^{^0}=5 \\ x=1,f(x)=5(2)^1=10 \\ x=2,f(x)=5(2)^2=20 \\ x=3,f(x)=5(2)^3=40 \end{gathered}[/tex]

The answer is D.