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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (- 1.38196 \dots, 0), (- 1.38196 \dots, 0), (- 3.61803 \dots, 0), (- \frac{3571}{987}, 0), Y Intercepts : (0, 25)

Asymptotes : None

Extreme Points : Minimum (\frac{- 5 - 5}{2}, 0), Maximum (- \frac{5}{2}, \frac{25}{16}), Minimum (\frac{- 5 + 5}{2}, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

(x + 1) (x + 2) (x + 3) (x + 4) + 1 : - \infty < x < \infty

Range of

(x + 1) (x + 2) (x + 3) (x + 4) + 1 : f (x) \geq 0

Axis interception points of

(x + 1) (x + 2) (x + 3) (x + 4) + 1 :

X Intercepts

: (- 1.38196 \dots, 0), (- 1.38196 \dots, 0), (- 3.61803 \dots, 0), (- \frac{3571}{987}, 0),

Y Intercepts

: (0, 25)

Asymptotes of

(x + 1) (x + 2) (x + 3) (x + 4) + 1 :

None

Extreme Points of

(x + 1) (x + 2) (x + 3) (x + 4) + 1 :

Minimum

(\frac{- 5 - 5}{2}, 0),

Maximum

(- \frac{5}{2}, \frac{25}{16}),

Minimum

(\frac{- 5 + 5}{2}, 0)

Popular Examples

f(x)=sin^4(x)cos^2(x)

f (x) = sin^{4} (x) cos^{2} (x)

y = x^{3} + 3 x^{2} - 1

f(x)=(6x^5+4x-2x^2-7)/(5x^2)

f (x) = \frac{6 x ^{5} + 4 x - 2 x ^{2} - 7}{5 x ^{2}}

y=arccos(sin(x))

y = arccos (sin (x))

f (t) = t + 1

Frequently Asked Questions (FAQ)

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