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Popular >

f(x)=x^6-6x^4-31x^2+36

Solution

f (x) = x^{6} - 6 x^{4} - 31 x^{2} + 36

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{288 - 14 129}{9} - 74 - 8129

X Intercepts : (1, 0), (- 1, 0), (3, 0), (- 3, 0), Y Intercepts : (0, 36)

Asymptotes : None

Extreme Points : Minimum - \frac{6 + 129}{3}, \frac{288 - 14 129}{9} - 74 - 8129, Maximum (0, 36), Minimum \frac{6 + 129}{3}, \frac{288 - 14 129}{9} - 74 - 8129

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{288 - 14 129}{9} - 74 - 8129, \infty)

Solution steps

Domain of

x^{6} - 6 x^{4} - 31 x^{2} + 36 : - \infty < x < \infty

Range of

x^{6} - 6 x^{4} - 31 x^{2} + 36 : f (x) \geq \frac{288 - 14 129}{9} - 74 - 8129

Axis interception points of

x^{6} - 6 x^{4} - 31 x^{2} + 36 :

X Intercepts

: (1, 0), (- 1, 0), (3, 0), (- 3, 0),

Y Intercepts

: (0, 36)

Asymptotes of

x^{6} - 6 x^{4} - 31 x^{2} + 36 :

None

Extreme Points of

x^{6} - 6 x^{4} - 31 x^{2} + 36 :

Minimum

- \frac{6 + 129}{3}, \frac{288 - 14 129}{9} - 74 - 8129,

Maximum

(0, 36),

Minimum

\frac{6 + 129}{3}, \frac{288 - 14 129}{9} - 74 - 8129

Popular Examples

f(x)=xsqrt(100-x^2)

f (x) = x 100 - x^{2}

g(x)=-1-log_{4}(x)

g (x) = - 1 - lo g_{4} (x)

y=2x^5-x^4+2x^3-6x^2+2x+4

y = 2 x^{5} - x^{4} + 2 x^{3} - 6 x^{2} + 2 x + 4

y = - (t - 1)^{2} + 33

f(x)=x^2-50x+2500

f (x) = x^{2} - 50 x + 2500

Frequently Asked Questions (FAQ)

What is the f(x)=x^6-6x^4-31x^2+36 ?
The f(x)=x^6-6x^4-31x^2+36 is