25. [-/2 Points] DETAILS MY NOTES LARPCALC10 4.7.002. Fill in the blanks. (Enter the range in interval notation.) $$ y=\square \quad y=\cos ^{-1} x \quad-1 \leq x \leq 1 \quad \text { Ranction } \quad \text { Romain } $$ Need Help? Roadin

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Range: [0, π] To find the range of the function $$ y = \cos^{-1}(x) $$ for the interval $$ -1 \leq x \leq 1 $$, we need to understand the behavior of the inverse cosine function. The function $$ y = \cos^{-1}(x) $$ is defined for $$ x $$ in the interval $$[-1, 1]$$. The output of the function, or the range, corresponds to the angles whose cosine values are $$ x $$. 1. When $$ x = -1 $$, $$ y = \cos^{-1}(-1) = \pi $$. 2. When $$ x = 1 $$, $$ y = \cos^{-1}(1) = 0 $$. The function $$ y = \cos^{-1}(x) $$ is decreasing on the interval $$[-1, 1]$$. Therefore, as $$ x $$ moves from $$-1$$ to $$1$$, $$ y $$ moves from $$\pi$$ to $$0$$. Thus, the range of $$ y = \cos^{-1}(x) $$ for $$ -1 \leq x \leq 1 $$ is: $$ [0, \pi] $$ In interval notation, the range is: $$ \text{Range: } [0, \pi] $$

25. [-/2 Points] DETAILS MY NOTES LARPCALC10 4.7.002. Fill in the blanks. (Enter the range in interval notation.) \[ y=\square \quad y=\cos ^{-1} x \quad-1 \leq x \leq 1 \quad \text { Ranction } \quad \text { Romain } \] Need Help? Roadin

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25. [-/2 Points] DETAILS MY NOTES LARPCALC10 4.7.002. Fill in the blanks. (Enter the range in interval notation.) \[ y=\square \quad y=\cos ^{-1} x \quad-1 \leq x \leq 1 \quad \text { Ranction } \quad \text { Romain } \] Need Help? Roadin

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