If A = sin^{2} x + cos^{4} x, then for all real x

- 3/4 ≤ A ≤ 1
- 1 ≤ A ≤ 2
- 3/4 ≤ A ≤ 13/16
- 13/16 ≤ A ≤ 1

**Answer**

A = sin^{2} x + cos^{4} x

= sin^{2} x + (1 - sin^{2} x)^{2}

= sin^{4} x - sin^{2} x +1

= (sin^{2} x - 1/2)^{2} + 3/4

**The correct option is A.**