Question

Type the correct answer in each box. Use numerals instead of words. Consider the function. The values of and, rounded to the nearest hundredth, are and , respectively.

Answer 1

f(½) = 1.73

f(¼) = 1.32

Explanation:

You will find the complete question attached as a picture alongside the solution.

`√(3)`y = f(x) =
`3^(x)`

When f(x) ⇒ f(½); that is, x = ½

y =
`3^(0.5)` =
`\sqrt {3}`

y = 1.7320508076 ≈ 1.73

y = 1.73 (to the nearest hundredth)

When f(x) ⇒ f(¼); that is, x = ¼

y =
`3^(0.25)` =
`\sqrt[4]{3}`

y = 1.316074013 ≈ 1.32

y = 1.32 (to the nearest hundredth)