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Popular >

y=3cos(x-7)+2

Solution

y = 3 cos (x - 7) + 2

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 1 \leq f (x) \leq 5

X Intercepts : (arccos (- \frac{2}{3}) + 7 - 2 π + 2 πn, 0), (- arccos (- \frac{2}{3}) + 7 + 2 πn, 0), Y Intercepts : (0, 3 cos (0 - 7) + 2)

Asymptotes : None

Extreme Points : Maximum (7 - 2 π + 2 πn, 5), Minimum (- π + 7 + 2 πn, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 5]

Solution steps

Periodicity of

3 cos (x - 7) + 2 : 2 π

Domain of

3 cos (x - 7) + 2 : - \infty < x < \infty

Range of

3 cos (x - 7) + 2 : - 1 \leq f (x) \leq 5

Axis interception points of

3 cos (x - 7) + 2 :

X Intercepts

: (arccos (- \frac{2}{3}) + 7 - 2 π + 2 πn, 0), (- arccos (- \frac{2}{3}) + 7 + 2 πn, 0),

Y Intercepts

: (0, 3 cos (0 - 7) + 2)

Asymptotes of

3 cos (x - 7) + 2 :

None

Extreme Points of

3 cos (x - 7) + 2 :

Maximum

(7 - 2 π + 2 πn, 5),

Minimum

(- π + 7 + 2 πn, - 1)

Popular Examples

f(s)= 1/(s^2+3s+2)

f (s) = \frac{1}{s ^{2} + 3 s + 2}

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

f (x) = 5 x + x^{3}

f (x) = 5 x^{2} + 3 x

f (x) = 9 x^{3} - 16

Frequently Asked Questions (FAQ)

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