Question

For the function f(x) = x^2 − 2, identify the values of f(0), f(1/2), and f(−1)."

a) -2; -7/4; -1
b) 2; -9/4; -1
c) -2; -7/4; -3
d) 2; -9/4; -3

Answer 1

The values of the function f(x) = x^2 - 2 are f(0) = -2, f(1/2) = -7/4, and f(-1) = -1. Therefore, the correct answer is c) -2; -7/4; -3.

Step-by-step explanation:

To find the values of the function f(x) = x^2 − 2 for different values of x, you simply substitute the x value into the equation and simplify.

• For f(0), we substitute 0 for x: f(0) = 0^2 - 2 = -2.
• For f(1/2), we substitute 1/2 for x: f(1/2) = (1/2)^2 - 2 = 1/4 - 2 = -7/4.
• For f(-1), we substitute -1 for x: f(-1) = (-1)^2 - 2 = 1 - 2 = -1.

The correct values are: f(0) = -2, f(1/2) = -7/4, and f(-1) = -1. Thus, the correct answer is option c) -2; -7/4; -3.