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Popular >

f(x)=cos(pix)

Solution

f (x) = cos (π x)

Solution

Period : 2

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{1}{2} + 2 n, 0), (\frac{3}{2} + 2 n, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (2 n, 1), Minimum (1 + 2 n, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

cos (π x) : 2

Domain of

cos (π x) : - \infty < x < \infty

Range of

cos (π x) : - 1 \leq f (x) \leq 1

Axis interception points of

cos (π x) :

X Intercepts

: (\frac{1}{2} + 2 n, 0), (\frac{3}{2} + 2 n, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos (π x) :

None

Extreme Points of

cos (π x) :

Maximum

(2 n, 1),

Minimum

(1 + 2 n, - 1)

Popular Examples

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y^{'''}-11y^{''}+24y^'=14e^x

y^{^{'''}} - 11 y^{^{''}} + 24 y^{^{'}} = 14 e^{x}

limit as x approaches 1-of ln(1-x)

x \to 1 - lim (ln (1 - x))

derivative of 1/((1+2x^2))

\frac{d}{d x} (\frac{1}{( 1 + 2 x ) ^{2}})

(\partial)/(\partial z)(4xy^3(z^2+1)^3)

\frac{\partial}{\partial z} (4 x y^{3} (z^{2} + 1)^{3})

Frequently Asked Questions (FAQ)

What is the f(x)=cos(pix) ?
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