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Popular >

f(x)=cos(10x)

Solution

f (x) = cos (10 x)

Solution

Period : \frac{π}{5}

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{π}{20} + \frac{πn}{5}, 0), (\frac{3 π}{20} + \frac{πn}{5}, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{5} n, 1), Minimum (\frac{π}{10} + \frac{π}{5} n, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

cos (10 x) : \frac{π}{5}

Domain of

cos (10 x) : - \infty < x < \infty

Range of

cos (10 x) : - 1 \leq f (x) \leq 1

Axis interception points of

cos (10 x) :

X Intercepts

: (\frac{π}{20} + \frac{πn}{5}, 0), (\frac{3 π}{20} + \frac{πn}{5}, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos (10 x) :

None

Extreme Points of

cos (10 x) :

Maximum

(\frac{π}{5} n, 1),

Minimum

(\frac{π}{10} + \frac{π}{5} n, - 1)

Popular Examples

f (x) = 5

f(x)=ln(27+8x^3)

f (x) = ln (27 + 8 x^{3})

y = \frac{1}{9} x^{2}

f(x)=sqrt(x^2+x-2)

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

y = 2 (x + 1)^{2} - 2

Frequently Asked Questions (FAQ)

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