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

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

Explanation:

The given function is

`f(x)=3^x`

Substitute
`x=(1)/(2)` in the given function to find the value of
`f((1)/(2))`.

`f((1)/(2))=3^{(1)/(2)}`

`f((1)/(2))=1.732`

`f((1)/(2))\approx 1.73`

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

Substitute
`x=(1)/(4)` in the given function to find the value of
`f((1)/(4))`.

`f((1)/(4))=3^{(1)/(4)}`

`f((1)/(4))=1.316`

`f((1)/(4))\approx 1.32`

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