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

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f(x)=x-cos(x)

f (x) = x - cos (x)

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

Y Intercepts : (0, - 1)

Asymptotes : None

Extreme Points : Saddle (\frac{3 π}{2} + 2 πn, \frac{3 π}{2} + 2 πn - cos (\frac{3 π}{2} + 2 πn))

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

x - cos (x) :

Y Intercepts

: (0, - 1)

Asymptotes of

x - cos (x) :

None

Extreme Points of

x - cos (x) :

Saddle

(\frac{3 π}{2} + 2 πn, \frac{3 π}{2} + 2 πn - cos (\frac{3 π}{2} + 2 πn))

\int_{0}^{6} 2. 3^{t} sin (\frac{t}{2}) d t

\int \frac{( 2 x + 4 )}{x ^{2} + 4 x + 5} d x

\int \frac{x ^{2} + 2 x + 3}{x ^{3} + 3 x ^{2} + 9 x + 1} d x

\int \frac{1}{2 x ^{2} + x} d x

sin (x), - sin (x), [0, 4]