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Popular >

f(x)=10x^2-x^4

Solution

f (x) = 10 x^{2} - x^{4}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 25

X Intercepts : (0, 0), (10, 0), (- 10, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- 5, 25), Minimum (0, 0), Maximum (5, 25)

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Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 25]

Solution steps

Domain of

10 x^{2} - x^{4} : - \infty < x < \infty

Range of

10 x^{2} - x^{4} : f (x) \leq 25

Axis interception points of

10 x^{2} - x^{4} :

X Intercepts

: (0, 0), (10, 0), (- 10, 0),

Y Intercepts

: (0, 0)

Asymptotes of

10 x^{2} - x^{4} :

None

Extreme Points of

10 x^{2} - x^{4} :

Maximum

(- 5, 25),

Minimum

(0, 0),

Maximum

(5, 25)

Popular Examples

f(x)=(3x^2-18x-81)/(6x^2-54)

f (x) = \frac{3 x ^{2} - 18 x - 81}{6 x ^{2} - 54}

f(x)=3x^2sin(x/4)

f (x) = 3 x^{2} sin (\frac{x}{4})

f (t) = sin (7 t)

y = \frac{1}{2 x + 8}

F (x) = - 2 x

Frequently Asked Questions (FAQ)

What is the f(x)=10x^2-x^4 ?
The f(x)=10x^2-x^4 is