What is the range of the function?
Consider the following for the next two (02) items that follow: A function is defined by f(x)=\pi+\sin^{2}x.
- A.
- B. [\pi,\pi+1] ✓
- C. [\pi-1,\pi+1]
- D. [\pi-1,\pi-1]
Correct Answer: B. [\pi,\pi+1]
Explanation
The range of \sin x is [-1, 1], which means the range of \sin^2 x is . Adding the constant \pi to all parts of the inequality gives \pi \leq \pi + \sin^2 x \leq \pi + 1. Thus, the range is [\pi, \pi+1].
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