Which of the following describes the range of the function f(x) = x^2?

₹0.0

Question: Which of the following describes the range of the function f(x) = x^2?

Options:

Correct Answer: All non-negative real numbers.

Solution:

The range of f(x) = x^2 is all non-negative real numbers since the output of the function is always zero or positive.

Which of the following describes the range of the function f(x) = x^2?

Which of the following describes the range of the function f(x) = x^2?

Step 1: Understand what a function is. A function takes an input (x) and gives an output (f(x)).
Step 2: Look at the function f(x) = x^2. This means for any value of x, you square it to find f(x).
Step 3: Consider different values of x. For example, if x = 2, then f(2) = 2^2 = 4. If x = -2, then f(-2) = (-2)^2 = 4. If x = 0, then f(0) = 0^2 = 0.
Step 4: Notice that squaring any number (positive, negative, or zero) will always give you a result that is zero or positive.
Step 5: Since the output (f(x)) can never be negative, the smallest value it can be is 0.
Step 6: Therefore, the range of the function f(x) = x^2 includes all numbers from 0 to positive infinity.

No concepts available.