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Popular >

f(x)=picos^2(3x-2)

Solution

f (x) = π cos^{2} (3 x - 2)

Solution

Period : \frac{π}{3}

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq π

X Intercepts : (\frac{2}{3} - \frac{π}{6} + \frac{πn}{3}, 0), Y Intercepts : (0, π cos^{2} (3 \cdot 0 - 2))

Asymptotes : None

Extreme Points : Minimum (\frac{4 - π}{6} + \frac{π}{3} n, 0), Maximum (\frac{2}{3} + \frac{π}{3} n, π)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, π]

Solution steps

Periodicity of

π cos^{2} (3 x - 2) : \frac{π}{3}

Domain of

π cos^{2} (3 x - 2) : - \infty < x < \infty

Range of

π cos^{2} (3 x - 2) : 0 \leq f (x) \leq π

Axis interception points of

π cos^{2} (3 x - 2) :

X Intercepts

: (\frac{2}{3} - \frac{π}{6} + \frac{πn}{3}, 0),

Y Intercepts

: (0, π cos^{2} (3 \cdot 0 - 2))

Asymptotes of

π cos^{2} (3 x - 2) :

None

Extreme Points of

π cos^{2} (3 x - 2) :

Minimum

(\frac{4 - π}{6} + \frac{π}{3} n, 0),

Maximum

(\frac{2}{3} + \frac{π}{3} n, π)

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Frequently Asked Questions (FAQ)

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