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Popular >

f(x)=x^4-10x^3+25x^2

Solution

f (x) = x^{4} - 10 x^{3} + 25 x^{2}

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 (0, 0), Maximum (\frac{5}{2}, \frac{625}{16}), Minimum (5, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

x^{4} - 10 x^{3} + 25 x^{2} : - \infty < x < \infty

Range of

x^{4} - 10 x^{3} + 25 x^{2} : f (x) \geq 0

Axis interception points of

x^{4} - 10 x^{3} + 25 x^{2} :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

x^{4} - 10 x^{3} + 25 x^{2} :

None

Extreme Points of

x^{4} - 10 x^{3} + 25 x^{2} :

Minimum

(0, 0),

Maximum

(\frac{5}{2}, \frac{625}{16}),

Minimum

(5, 0)

Popular Examples

f(x)=-2sin(x+pi/2)+1

f (x) = - 2 sin (x + \frac{π}{2}) + 1

f(x)=12+2x^2-x^4

f (x) = 12 + 2 x^{2} - x^{4}

f(x)=(sin(4x))/2

f (x) = \frac{sin ( 4 x )}{2}

f(x)=x^4+4x^3-6x^2-4x+5

f (x) = x^{4} + 4 x^{3} - 6 x^{2} - 4 x + 5

f(x)=x^3-1.5x^2,-1<= x<= 2

f (x) = x^{3} - 1.5 x^{2}, - 1 \leq x \leq 2

Frequently Asked Questions (FAQ)

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