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Popular >

f(x)=(5x^2-x^4)/9

Solution

f (x) = \frac{5 x ^{2} - x ^{4}}{9}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{25}{36}

X Intercepts : (0, 0), (5, 0), (- 5, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- 1.58113 \dots, 0.69444 \dots), Minimum (0.00000 \dots, 0.00000 \dots), Maximum (1.58113 \dots, 0.69444 \dots)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{25}{36}]

Solution steps

Domain of

\frac{5 x ^{2} - x ^{4}}{9} : - \infty < x < \infty

Range of

\frac{5 x ^{2} - x ^{4}}{9} : f (x) \leq \frac{25}{36}

Axis interception points of

\frac{5 x ^{2} - x ^{4}}{9} :

X Intercepts

: (0, 0), (5, 0), (- 5, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{5 x ^{2} - x ^{4}}{9} :

None

Extreme Points of

\frac{5 x ^{2} - x ^{4}}{9} :

Maximum

(- 1.58113 \dots, 0.69444 \dots),

Minimum

(0.00000 \dots, 0.00000 \dots),

Maximum

(1.58113 \dots, 0.69444 \dots)

Popular Examples

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f(x)=3x^2+10x-8

f (x) = 3 x^{2} + 10 x - 8

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f (x) = 2 x^{2} + 16 x + 33

f(x)=x^3+6x^2+12x+8

f (x) = x^{3} + 6 x^{2} + 12 x + 8

Frequently Asked Questions (FAQ)

What is the f(x)=(5x^2-x^4)/9 ?
The f(x)=(5x^2-x^4)/9 is