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Popular >

y=4cos(1/5 x)+2

Solution

y = 4 cos (\frac{1}{5} x) + 2

Solution

Period : 10 π

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{10 π}{3} + 10 πn, 0), (\frac{20 π}{3} + 10 πn, 0), Y Intercepts : (0, 6)

Asymptotes : None

Extreme Points : Maximum (10 πn, 6), Minimum (5 π + 10 πn, - 2)

+1

Solution steps

Periodicity of

4 cos (\frac{1}{5} x) + 2 : 10 π

Domain of

4 cos (\frac{1}{5} x) + 2 : - \infty < x < \infty

Range of

4 cos (\frac{1}{5} x) + 2 : - 2 \leq f (x) \leq 6

Axis interception points of

4 cos (\frac{1}{5} x) + 2 :

X Intercepts

: (\frac{10 π}{3} + 10 πn, 0), (\frac{20 π}{3} + 10 πn, 0),

Y Intercepts

: (0, 6)

Asymptotes of

4 cos (\frac{1}{5} x) + 2 :

None

Extreme Points of

4 cos (\frac{1}{5} x) + 2 :

Maximum

(10 πn, 6),

Minimum

(5 π + 10 πn, - 2)

Popular Examples

g (x) = (x + 2)^{2} - 5

f(x)= 1/6 x+1/6

f (x) = \frac{1}{6} x + \frac{1}{6}

f (x) = 4 - 5^{x + 1}

f(x)=sqrt(3x-10)

f (x) = 3 x - 10

f (x) = \frac{3 x ^{2}}{x}

Frequently Asked Questions (FAQ)

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