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Popular >

y=4cos^2(x)-2

Solution

y = 4 cos^{2} (x) - 2

Solution

Period : π

Domain : - \infty < x < \infty

Range : - 2 \leq f (x) \leq 2

X Intercepts : (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0), Y Intercepts : (0, 2)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 2]

Solution steps

Periodicity of

4 cos^{2} (x) - 2 : π

Domain of

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

Range of

4 cos^{2} (x) - 2 : - 2 \leq f (x) \leq 2

Axis interception points of

4 cos^{2} (x) - 2 :

X Intercepts

: (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0),

Y Intercepts

: (0, 2)

Asymptotes of

4 cos^{2} (x) - 2 :

None

Extreme Points of

4 cos^{2} (x) - 2 :

Maximum

(πn, 2),

Minimum

(\frac{π}{2} + πn, - 2)

Popular Examples

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f (x) = 1 - (x - 3)^{2}

f(x)=sqrt(3+x)+sqrt(3-x)

f (x) = 3 + x + 3 - x

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y = \frac{( x + 1 ) ( x + 2 )}{( x - 1 ) ( x - 2 )}

Frequently Asked Questions (FAQ)

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