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Popular >

f(x)=3x^6+30x^5+75x^4

Solution

f (x) = 3 x^{6} + 30 x^{5} + 75 x^{4}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

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

Asymptotes : None

Extreme Points : Minimum (- 5, 0), Maximum (- \frac{10}{3}, \frac{250000}{243}), Minimum (0, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

3 x^{6} + 30 x^{5} + 75 x^{4} : - \infty < x < \infty

Range of

3 x^{6} + 30 x^{5} + 75 x^{4} : f (x) \geq 0

Axis interception points of

3 x^{6} + 30 x^{5} + 75 x^{4} :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

3 x^{6} + 30 x^{5} + 75 x^{4} :

None

Extreme Points of

3 x^{6} + 30 x^{5} + 75 x^{4} :

Minimum

(- 5, 0),

Maximum

(- \frac{10}{3}, \frac{250000}{243}),

Minimum

(0, 0)

Graph

Popular Examples

f (x) = 3 x^{2} - 2 x - 9

f(x)=x^4+11x^3+34x^2+15x-2

f (x) = x^{4} + 11 x^{3} + 34 x^{2} + 15 x - 2

y = 10 x - 30

p(x)=4x^5-8x^4-61x^3+146x^2+15x-36

p (x) = 4 x^{5} - 8 x^{4} - 61 x^{3} + 146 x^{2} + 15 x - 36

f(x)=4-x^2,-3<= x<= 1

f (x) = 4 - x^{2}, - 3 \leq x \leq 1

Frequently Asked Questions (FAQ)

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