Question

The range of the function y = f(x) is . What is the range of y = f√(x)?

Option 1: 0 ≤ y ≤ 4, y ∈ ℝ
Option 2:
Option 3:
Option 4: 4 ≤ y ≤ 16, y ∈ ℝ

Answer 1

The range of y = f√(x) is 0 ≤ y ≤ 16.

Step-by-step explanation:

The original function y = f(x) has a range of 0 ≤ y ≤ 16. When we have the function y = f√(x), we need to find the range of the square root of x and substitute it into the original range. Since the square root of any number is always positive, the range of y = f√(x) is 0 ≤ y ≤ 16. Therefore, the correct option is Option 2: 0 ≤ y ≤ 16, y ∈ ℝ .