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Popular >

f(x)=5x^{1/4}-7x^{3/4}

Solution

f (x) = 5 x^{\frac{1}{4}} - 7 x^{\frac{3}{4}}

Solution

Domain : x \geq 0

Range : f (x) \leq 5 (\frac{25}{441})^{\frac{1}{4}} - 7 (\frac{25}{441})^{\frac{3}{4}}

X Intercepts : (0, 0), (\frac{25}{49}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (0, 0), Maximum (\frac{25}{441}, 5 (\frac{25}{441})^{\frac{1}{4}} - 7 (\frac{25}{441})^{\frac{3}{4}})

+1

Solution steps

Domain of

5 x^{\frac{1}{4}} - 7 x^{\frac{3}{4}} : x \geq 0

Range of

5 x^{\frac{1}{4}} - 7 x^{\frac{3}{4}} : f (x) \leq 5 (\frac{25}{441})^{\frac{1}{4}} - 7 (\frac{25}{441})^{\frac{3}{4}}

Axis interception points of

5 x^{\frac{1}{4}} - 7 x^{\frac{3}{4}} :

X Intercepts

: (0, 0), (\frac{25}{49}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

5 x^{\frac{1}{4}} - 7 x^{\frac{3}{4}} :

None

Extreme Points of

5 x^{\frac{1}{4}} - 7 x^{\frac{3}{4}} :

Minimum

(0, 0),

Maximum

(\frac{25}{441}, 5 (\frac{25}{441})^{\frac{1}{4}} - 7 (\frac{25}{441})^{\frac{3}{4}})

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Frequently Asked Questions (FAQ)

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