What is the f(x)=cos(2x)+cos(4x)+cos(6x) ?

The f(x)=cos(2x)+cos(4x)+cos(6x) is

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f(x)=cos(2x)+cos(4x)+cos(6x)

f (x) = cos (2 x) + cos (4 x) + cos (6 x)

Period : π

Domain : - \infty < x < \infty

X Intercepts : (\frac{π}{3} + πn, 0), (\frac{2 π}{3} + πn, 0), (\frac{3 π}{8} + πn, 0), (\frac{5 π}{8} + πn, 0), (\frac{π}{8} + πn, 0), (\frac{7 π}{8} + πn, 0), Y Intercepts : (0, 3)

Asymptotes : None

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Periodicity of

cos (2 x) + cos (4 x) + cos (6 x) : π

Domain of

cos (2 x) + cos (4 x) + cos (6 x) : - \infty < x < \infty

Axis interception points of

cos (2 x) + cos (4 x) + cos (6 x) :

X Intercepts

: (\frac{π}{3} + πn, 0), (\frac{2 π}{3} + πn, 0), (\frac{3 π}{8} + πn, 0), (\frac{5 π}{8} + πn, 0), (\frac{π}{8} + πn, 0), (\frac{7 π}{8} + πn, 0),

Y Intercepts

: (0, 3)

Asymptotes of

cos (2 x) + cos (4 x) + cos (6 x) :

None

f (x) = \frac{2 x ^{2} - 16 x - 66}{∣ x - 11 ∣}

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

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

f (x) = 16 sin (2 x)

f (x) = \frac{7}{2} x^{2}