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Popular >

f(x)=20x^6-4x^5-75x^4+3

Solution

f (x) = 20 x^{6} - 4 x^{5} - 75 x^{4} + 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{144688}{729}

X Intercepts : (- 0.45662 \dots, 0), (0.45064 \dots, 0), (- 1.83566 \dots, 0), (2.03682 \dots, 0), Y Intercepts : (0, 3)

Asymptotes : None

Extreme Points : Minimum (- \frac{3}{2}, - \frac{237}{2}), Maximum (0, 3), Minimum (\frac{5}{3}, - \frac{144688}{729})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{144688}{729}, \infty)

Solution steps

Domain of

20 x^{6} - 4 x^{5} - 75 x^{4} + 3 : - \infty < x < \infty

Range of

20 x^{6} - 4 x^{5} - 75 x^{4} + 3 : f (x) \geq - \frac{144688}{729}

Axis interception points of

20 x^{6} - 4 x^{5} - 75 x^{4} + 3 :

X Intercepts

: (- 0.45662 \dots, 0), (0.45064 \dots, 0), (- 1.83566 \dots, 0), (2.03682 \dots, 0),

Y Intercepts

: (0, 3)

Asymptotes of

20 x^{6} - 4 x^{5} - 75 x^{4} + 3 :

None

Extreme Points of

20 x^{6} - 4 x^{5} - 75 x^{4} + 3 :

Minimum

(- \frac{3}{2}, - \frac{237}{2}),

Maximum

(0, 3),

Minimum

(\frac{5}{3}, - \frac{144688}{729})

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Frequently Asked Questions (FAQ)

What is the f(x)=20x^6-4x^5-75x^4+3 ?
The f(x)=20x^6-4x^5-75x^4+3 is