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Popular >

f(x)=5cos^4(x)

Solution

f (x) = 5 cos^{4} (x)

Solution

Period : π

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 5

X Intercepts : (\frac{π}{2} + πn, 0), Y Intercepts : (0, 5)

Asymptotes : None

Extreme Points : Maximum (πn, 5), Minimum (\frac{π}{2} + πn, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 5]

Solution steps

Periodicity of

5 cos^{4} (x) : π

Domain of

5 cos^{4} (x) : - \infty < x < \infty

Range of

5 cos^{4} (x) : 0 \leq f (x) \leq 5

Axis interception points of

5 cos^{4} (x) :

X Intercepts

: (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 5)

Asymptotes of

5 cos^{4} (x) :

None

Extreme Points of

5 cos^{4} (x) :

Maximum

(πn, 5),

Minimum

(\frac{π}{2} + πn, 0)

Popular Examples

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f(x)=-3x*log_{10}(x+8)

f (x) = - 3 x \cdot lo g_{10} (x + 8)

Frequently Asked Questions (FAQ)

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