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Popular >

y=-x^4-5x^3+3x^2+13x-10

Solution

y = - x^{4} - 5 x^{3} + 3 x^{2} + 13 x - 10

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{17 ( 811 + 243 17 )}{512} - 10

X Intercepts : (1, 0), (- 2, 0), (- 5, 0), Y Intercepts : (0, - 10)

Asymptotes : None

Extreme Points : Maximum (\frac{- 19 - 3 17}{8}, \frac{17 ( 811 + 243 17 )}{512} - 10), Minimum (\frac{- 19 + 3 17}{8}, \frac{17 ( 811 - 243 17 )}{512} - 10), Maximum (1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{17 ( 811 + 243 17 )}{512} - 10]

Solution steps

Domain of

- x^{4} - 5 x^{3} + 3 x^{2} + 13 x - 10 : - \infty < x < \infty

Range of

- x^{4} - 5 x^{3} + 3 x^{2} + 13 x - 10 : f (x) \leq \frac{17 ( 811 + 243 17 )}{512} - 10

Axis interception points of

- x^{4} - 5 x^{3} + 3 x^{2} + 13 x - 10 :

X Intercepts

: (1, 0), (- 2, 0), (- 5, 0),

Y Intercepts

: (0, - 10)

Asymptotes of

- x^{4} - 5 x^{3} + 3 x^{2} + 13 x - 10 :

None

Extreme Points of

- x^{4} - 5 x^{3} + 3 x^{2} + 13 x - 10 :

Maximum

(\frac{- 19 - 3 17}{8}, \frac{17 ( 811 + 243 17 )}{512} - 10),

Minimum

(\frac{- 19 + 3 17}{8}, \frac{17 ( 811 - 243 17 )}{512} - 10),

Maximum

(1, 0)

Popular Examples

f(x)= x/3 (2x+1)^3

f (x) = \frac{x}{3} (2 x + 1)^{3}

h(t)=-5t^2+10t+15

h (t) = - 5 t^{2} + 10 t + 15

f(x)=|x^2-3x+2|

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

f(x)=ln(x)+cos(x)

f (x) = ln (x) + cos (x)

h (x) = 2 x - 3

Frequently Asked Questions (FAQ)

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