Answered

Here are equations defining three exponential functions f,g, and h.f(x)=100×3^x, g(x)=100×(3.5)^x, h(x)=100×4^xWhich of these functions grows the least quickly? Which one grows the most quickly?



Answer :

Given:

[tex]\begin{gathered} f\mleft(x\mright)=100\times3^x \\ g\mleft(x\mright)=100\times\mleft(3.5\mright)^x \\ h\mleft(x\mright)=100\times4^x \end{gathered}[/tex]

To find the function which has the least and most quickly grows:

Since 3 < 3.5 < 4.

So, the function that has the most quickly grows is,

[tex]h(x)=100\times4^x[/tex]

So, the function that has the least quickly grows is,

[tex]f(x)=100\times3^x[/tex]

Other Questions