Question

Consider the function y=f(x)=3^x
the values of f(1/2) and of (1/4), rounded to the nearest hundredth, are _____ and _____, respectively.

Answer 1

3^1/2 = 1.73
3^1/4 =  1.32

Answer 2

Answer:

The values of f(1/2) and of (1/4), rounded to the nearest hundredth, are 1.73 and 1.32, respectively.

Step-by-step explanation:

The given function is

$f(x)=3^x$

Substitute $x=\frac{1}{2}$ in the given function to find the value of $f(\frac{1}{2})$.

$f(\frac{1}{2})=3^{\frac{1}{2}}$

$f(\frac{1}{2})=1.732$

$f(\frac{1}{2})\approx 1.73$

Therefore the values of f(1/2) is 1.73.

Substitute $x=\frac{1}{4}$ in the given function to find the value of $f(\frac{1}{4})$.

$f(\frac{1}{4})=3^{\frac{1}{4}}$

$f(\frac{1}{4})=1.316$

$f(\frac{1}{4})\approx 1.32$

Therefore the values of f(1/4) is 1.32.