The function $y = -x^{2 + 6x - 3}$ is increasing when:
The function $y = -x^{2 + 6x - 3}$ is increasing when:
Show Hint
- $x<3$
- $x>3$
- $x<-3$
- $x>-3$
The Correct Option is A
Solution and Explanation
A function is increasing where its derivative $y'$ is positive.
Step 2: Analysis
$y' = -2x + 6$.
Set $-2x + 6>0 \Rightarrow 6>2x$.
Step 3: Conclusion
$x<3$.
Final Answer: (A)
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