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Popular >

f(x)=(6x^2-x^4)/9

Solution

f (x) = \frac{6 x ^{2} - x ^{4}}{9}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 1

X Intercepts : (0, 0), (6, 0), (- 6, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- 1.73205 \dots, 1), Minimum (0.00000 \dots, 0.00000 \dots), Maximum (1.73205 \dots, 1.00000 \dots)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 1]

Solution steps

Domain of

\frac{6 x ^{2} - x ^{4}}{9} : - \infty < x < \infty

Range of

\frac{6 x ^{2} - x ^{4}}{9} : f (x) \leq 1

Axis interception points of

\frac{6 x ^{2} - x ^{4}}{9} :

X Intercepts

: (0, 0), (6, 0), (- 6, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{6 x ^{2} - x ^{4}}{9} :

None

Extreme Points of

\frac{6 x ^{2} - x ^{4}}{9} :

Maximum

(- 1.73205 \dots, 1),

Minimum

(0.00000 \dots, 0.00000 \dots),

Maximum

(1.73205 \dots, 1.00000 \dots)

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Frequently Asked Questions (FAQ)

What is the f(x)=(6x^2-x^4)/9 ?
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