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In which of the following intervals, the function $f(x) = x^2 - 2x + 15$ is decreasing? |
$(-1,∞)$ $(-∞,1)$ $(-∞,2)$ (0, -1) |
$(-∞,1)$ |
The correct answer is Option (1) → $(-1,∞)$ $f(x)=x^2-2x+15$ $\frac{df}{dx}=2x-2$ Function is decreasing when $\frac{df}{dx}<0$ $2x-2<0$ $x<1$ Hence the function is decreasing on $(-\infty,1)$ The correct interval is $(-\infty,1)$. |
