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Popular >

y=x^4-4x^3+10

Solution

y = x^{4} - 4 x^{3} + 10

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 17

X Intercepts : (3.82070 \dots, 0), (1.61179 \dots, 0), Y Intercepts : (0, 10)

Asymptotes : None

Extreme Points : Saddle (0, 10), Minimum (3, - 17)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 17, \infty)

Solution steps

Domain of

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

Range of

x^{4} - 4 x^{3} + 10 : f (x) \geq - 17

Axis interception points of

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

X Intercepts

: (3.82070 \dots, 0), (1.61179 \dots, 0),

Y Intercepts

: (0, 10)

Asymptotes of

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

None

Extreme Points of

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

Saddle

(0, 10),

Minimum

(3, - 17)

Popular Examples

p(x)=(x+1)(x+1)(x-1)(x+5)

p (x) = (x + 1) (x + 1) (x - 1) (x + 5)

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

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

f(x)=2cos(x)+sin(2x),(0, pi/2)

f (x) = 2 cos (x) + sin (2 x), (0, \frac{π}{2})

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

h(x)=(x+5)/(x^2-9)

h (x) = \frac{x + 5}{x ^{2} - 9}

Frequently Asked Questions (FAQ)

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