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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{1}{4}

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

Asymptotes : None

Extreme Points : Maximum (- \frac{1}{2}, \frac{1}{4}), Minimum (0, 0), Maximum (\frac{1}{2}, \frac{1}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{1}{4}]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(- \frac{1}{2}, \frac{1}{4}),

Minimum

(0, 0),

Maximum

(\frac{1}{2}, \frac{1}{4})

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y = sec (θ) tan (θ)

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f (x) = \frac{1}{x - 3} - 2

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y = - x^{2} + 6 x + 1

Frequently Asked Questions (FAQ)

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