en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=1+cos(4x)

Solution

f (x) = 1 + cos (4 x)

Solution

Period : \frac{π}{2}

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 2

X Intercepts : (\frac{π}{4} + \frac{πn}{2}, 0), Y Intercepts : (0, 1 + cos (4 \cdot 0))

Asymptotes : None

Extreme Points : Maximum (\frac{π}{2} n, 2), Minimum (\frac{π}{4} + \frac{π}{2} n, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 2]

Solution steps

Periodicity of

1 + cos (4 x) : \frac{π}{2}

Domain of

1 + cos (4 x) : - \infty < x < \infty

Range of

1 + cos (4 x) : 0 \leq f (x) \leq 2

Axis interception points of

1 + cos (4 x) :

X Intercepts

: (\frac{π}{4} + \frac{πn}{2}, 0),

Y Intercepts

: (0, 1 + cos (4 \cdot 0))

Asymptotes of

1 + cos (4 x) :

None

Extreme Points of

1 + cos (4 x) :

Maximum

(\frac{π}{2} n, 2),

Minimum

(\frac{π}{4} + \frac{π}{2} n, 0)

Popular Examples

f(x)=62+35log_{10}(13-4)

f (x) = 62 + 35 lo g_{10} (13 - 4)

f(x)=(6x^2+4x-3)/(2x)

f (x) = \frac{6 x ^{2} + 4 x - 3}{2 x}

g(t)=-t^2-14t-59

g (t) = - t^{2} - 14 t - 59

y=x^3e^{-2x}cos(3x)

y = x^{3} e^{- 2 x} cos (3 x)

y = \frac{3 x + 3}{2 - x}

Frequently Asked Questions (FAQ)

What is the f(x)=1+cos(4x) ?
The f(x)=1+cos(4x) is