Question

The range of the function \( f(x) = x^2 + 2x + 2 \) is:

• A. \( (1, \infty) \)
• B. \( [2, \infty) \)
• C. \( (0, \infty) \)
• D. \( [1, \infty) \)
• E. \( (-\infty, \infty) \)

Hint:

For a parabola opening upwards ($a > 0$), the range always starts at the y-coordinate of the vertex. You can find the x-coordinate of the vertex quickly using $x = -b/2a$.

Answer 1

The Correct Option is D