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Popular >

y=4cos(x)-2

Solution

y = 4 cos (x) - 2

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 6 \leq f (x) \leq 2

X Intercepts : (\frac{π}{3} + 2 πn, 0), (\frac{5 π}{3} + 2 πn, 0), Y Intercepts : (0, 2)

Asymptotes : None

Extreme Points : Maximum (2 πn, 2), Minimum (π + 2 πn, - 6)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 6, 2]

Solution steps

Periodicity of

4 cos (x) - 2 : 2 π

Domain of

4 cos (x) - 2 : - \infty < x < \infty

Range of

4 cos (x) - 2 : - 6 \leq f (x) \leq 2

Axis interception points of

4 cos (x) - 2 :

X Intercepts

: (\frac{π}{3} + 2 πn, 0), (\frac{5 π}{3} + 2 πn, 0),

Y Intercepts

: (0, 2)

Asymptotes of

4 cos (x) - 2 :

None

Extreme Points of

4 cos (x) - 2 :

Maximum

(2 πn, 2),

Minimum

(π + 2 πn, - 6)

Popular Examples

y = 2 x + \frac{8}{x}

f(x)=3x^2+2x+162

f (x) = 3 x^{2} + 2 x + 162

f(x)=(x^2-5x+6)/(x^2-2x+3)

f (x) = \frac{x ^{2} - 5 x + 6}{x ^{2} - 2 x + 3}

y = sec (x^{2})

y=x^3+2x^2-4x-8

y = x^{3} + 2 x^{2} - 4 x - 8

Frequently Asked Questions (FAQ)

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