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Popular Functions >

f(x)=2x^4-7x^3-27x^2+63x+81

Solution

f (x) = 2 x^{4} - 7 x^{3} - 27 x^{2} + 63 x + 81

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 66.97531 \dots

X Intercepts : (- 1, 0), (\frac{9}{2}, 0), (- 3, 0), (3, 0), Y Intercepts : (0, 81)

Asymptotes : None

Extreme Points : Minimum (- 2.16697 \dots, - 66.97531 \dots), Maximum (0.94455 \dots, 112.11095 \dots), Minimum (3.84742 \dots, - 36.71132 \dots)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 66.97531 \dots, \infty)

Solution steps

Domain of

2 x^{4} - 7 x^{3} - 27 x^{2} + 63 x + 81 : - \infty < x < \infty

Range of

2 x^{4} - 7 x^{3} - 27 x^{2} + 63 x + 81 : f (x) \geq - 66.97531 \dots

Axis interception points of

2 x^{4} - 7 x^{3} - 27 x^{2} + 63 x + 81 :

X Intercepts

: (- 1, 0), (\frac{9}{2}, 0), (- 3, 0), (3, 0),

Y Intercepts

: (0, 81)

Asymptotes of

2 x^{4} - 7 x^{3} - 27 x^{2} + 63 x + 81 :

None

Extreme Points of

2 x^{4} - 7 x^{3} - 27 x^{2} + 63 x + 81 :

Minimum

(- 2.16697 \dots, - 66.97531 \dots),

Maximum

(0.94455 \dots, 112.11095 \dots),

Minimum

(3.84742 \dots, - 36.71132 \dots)

Graph

Popular Examples

f(x)=log_{10}(x)+5

f(x)=log_{7/8}(x)

Frequently Asked Questions (FAQ)

What is the f(x)=2x^4-7x^3-27x^2+63x+81 ?
The f(x)=2x^4-7x^3-27x^2+63x+81 is