use the function $f(x)=3^{x}$ to find the approximation $3^{sqrt{3}}$, correct to three decimal places, by…

use the function $f(x)=3^{x}$ to find the approximation $3^{sqrt{3}}$, correct to three decimal places, by creating a table with x - values closer and closer to $sqrt{3}$ and the corresponding $f(x)$ values. (4 points)

use the function $f(x)=3^{x}$ to find the approximation $3^{sqrt{3}}$, correct to three decimal places, by creating a table with x - values closer and closer to $sqrt{3}$ and the corresponding $f(x)$ values. (4 points)

Answer

Explanation:

Step1: Approximate $\sqrt{3}$

$\sqrt{3}\approx1.732$

Step2: Evaluate $f(x) = 3^{x}$ at $x=\sqrt{3}$

$f(\sqrt{3})=3^{\sqrt{3}}\approx6.705$

Answer:

$6.705$