How to evaluate a radical function given three different values

The video tutorial explains how to evaluate a function F(x) = sqrt(3 - x^2) using specific examples. It starts with evaluating F(-2), highlighting the transition from real to imaginary numbers when dealing with negative square roots. The tutorial then evaluates F(0), emphasizing not to simplify sqrt(3). Finally, it evaluates F(1), resulting in sqrt(2). The focus is on understanding function evaluation and the implications of real and imaginary numbers.

What is the result of evaluating F(x) = sqrt(3 - x^2) for x = -2 in the real number system?

• 1

• No real solution

• 3

• 2

When evaluating F(x) = sqrt(3 - x^2) for x = 0, what is the result?

• sqrt(2)

• 3

• sqrt(3)

• 0

Why should you not approximate the result of F(0) = sqrt(3)?

• It is a complex number

• It is already a whole number

• Approximating would lead to an incorrect value

• The function is undefined

What is the result of evaluating F(x) = sqrt(3 - x^2) for x = 1?

• sqrt(2)

• 1

• 2

• sqrt(3)

What is the process to evaluate F(x) = sqrt(3 - x^2) for a given x?

• Subtract the given value from 3

• Multiply the given value by 3

• Add the given value to 3

• Replace x with the given value and simplify