AP EAMCET · Maths · Functions
The range of the function \(f(x)=\left\{\begin{array}{cc}4 x-1, & x>3 \\ x^2-2, & -2 \leq x \leq 3 \\ 3 x+4, & x < -2\end{array}\right.\)
- A \((-\infty, \infty)\)
- B \(\mathbb{R}-(-3,3)\)
- C \(\mathbb{R}-(7,11]\)
- D \((7,11]\)
Answer & Solution
Correct Answer
(C) \(\mathbb{R}-(7,11]\)
Step-by-step Solution
Detailed explanation
When \(x>3,11 < 4 x-1 < \infty\) when \(-2 \leq x \leq 3,-2 \leq x^2-2 \leq 7\) when \(x < -2,-\infty < (3 x+9) < -2\) Clearly, the given function \(f(x)\) have no presence over the interval \((7,11]\) and other than \((7,11], f(x)\) have values corresponding the values of…
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