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Popular >

g(x)=2cos(7x+5)+1

Solution

g (x) = 2 cos (7 x + 5) + 1

Solution

Period : \frac{2 π}{7}

Domain : - \infty < x < \infty

Range : - 1 \leq f (x) \leq 3

X Intercepts : (- \frac{5}{7} + \frac{8 π}{21} + \frac{2 πn}{7}, 0), (- \frac{5}{7} + \frac{10 π}{21} + \frac{2 πn}{7}, 0), Y Intercepts : (0, 2 cos (7 \cdot 0 + 5) + 1)

Asymptotes : None

Extreme Points : Maximum (\frac{- 5 + 2 π}{7} + \frac{2 π}{7} n, 3), Minimum (\frac{3 π - 5}{7} + \frac{2 π}{7} n, - 1)

+1

Solution steps

Periodicity of

2 cos (7 x + 5) + 1 : \frac{2 π}{7}

Domain of

2 cos (7 x + 5) + 1 : - \infty < x < \infty

Range of

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

Axis interception points of

2 cos (7 x + 5) + 1 :

X Intercepts

: (- \frac{5}{7} + \frac{8 π}{21} + \frac{2 πn}{7}, 0), (- \frac{5}{7} + \frac{10 π}{21} + \frac{2 πn}{7}, 0),

Y Intercepts

: (0, 2 cos (7 \cdot 0 + 5) + 1)

Asymptotes of

2 cos (7 x + 5) + 1 :

None

Extreme Points of

2 cos (7 x + 5) + 1 :

Maximum

(\frac{- 5 + 2 π}{7} + \frac{2 π}{7} n, 3),

Minimum

(\frac{3 π - 5}{7} + \frac{2 π}{7} n, - 1)

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Frequently Asked Questions (FAQ)

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