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Popular >

f(x)=x^4+3x^3+3x^2+x+1

Solution

f (x) = x^{4} + 3 x^{3} + 3 x^{2} + x + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{229}{256}

Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Saddle (- 1, 1), Minimum (- \frac{1}{4}, \frac{229}{256})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{229}{256}, \infty)

Solution steps

Domain of

x^{4} + 3 x^{3} + 3 x^{2} + x + 1 : - \infty < x < \infty

Range of

x^{4} + 3 x^{3} + 3 x^{2} + x + 1 : f (x) \geq \frac{229}{256}

Axis interception points of

x^{4} + 3 x^{3} + 3 x^{2} + x + 1 :

Y Intercepts

: (0, 1)

Asymptotes of

x^{4} + 3 x^{3} + 3 x^{2} + x + 1 :

None

Extreme Points of

x^{4} + 3 x^{3} + 3 x^{2} + x + 1 :

Saddle

(- 1, 1),

Minimum

(- \frac{1}{4}, \frac{229}{256})

Popular Examples

p (x) = x + 5

f(n)= 1/(2124n^{16)}

f (n) = \frac{1}{2124 n ^{16}}

h(x)=-7^{-x+1}+ln(e)

h (x) = - 7^{- x + 1} + ln (e)

y = - 3 (x - 5)^{2} - 1

f(t)=9.8t^2+30t-60

f (t) = 9.8 t^{2} + 30 t - 60

Frequently Asked Questions (FAQ)

What is the f(x)=x^4+3x^3+3x^2+x+1 ?
The f(x)=x^4+3x^3+3x^2+x+1 is