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Popular Calculus >

f(x)=-x^4+18x^2-11

Solution

f (x) = - x^{4} + 18 x^{2} - 11

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 70

X Intercepts : (9 - 70, 0), (- 9 - 70, 0), (9 + 70, 0), (- 9 + 70, 0), Y Intercepts : (0, - 11)

Asymptotes : None

Extreme Points : Maximum (- 3, 70), Minimum (0, - 11), Maximum (3, 70)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 70]

Solution steps

Domain of

- x^{4} + 18 x^{2} - 11 : - \infty < x < \infty

Range of

- x^{4} + 18 x^{2} - 11 : f (x) \leq 70

Axis interception points of

- x^{4} + 18 x^{2} - 11 :

X Intercepts

: (9 - 70, 0), (- 9 - 70, 0), (9 + 70, 0), (- 9 + 70, 0),

Y Intercepts

: (0, - 11)

Asymptotes of

- x^{4} + 18 x^{2} - 11 :

None

Extreme Points of

- x^{4} + 18 x^{2} - 11 :

Maximum

(- 3, 70),

Minimum

(0, - 11),

Maximum

(3, 70)

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=-x^4+18x^2-11 ?
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