Evaluating the Function f(x) = 2x² – 1

The question asks us to find the value of the function f(x) = 2x² – 1 when x is equal to 0. This is denoted as finding f(0).

To find f(0), we need to substitute every occurrence of 'x' in the function definition with the value '0'.

Step-by-Step Calculation for f(0)

1. Start with the given function:
   \(f(x) = 2x^2 - 1\)
2. Substitute x = 0 into the function:
   \(f(0) = 2(0)^2 - 1\)
3. First, evaluate the term with the power: \(0^2 = 0\).
   \(f(0) = 2(0) - 1\)
4. Next, perform the multiplication: \(2 \times 0 = 0\).
   \(f(0) = 0 - 1\)
5. Finally, perform the subtraction: \(0 - 1 = -1\).
   \(f(0) = -1\)

So, the value of the function f(x) at x = 0 is -1.

Comparing this result with the given options:

• Option 1: 1
• Option 2: -1
• Option 3: 0
• Option 4: None of the above

Our calculated value f(0) = -1 matches Option 2.