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Popular Functions >

f(x)=x^4-2x^3-35x^2+36x+180

Solution

f (x) = x^{4} - 2 x^{3} - 35 x^{2} + 36 x + 180

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 144

X Intercepts : (- 2, 0), (3, 0), (- 5, 0), (6, 0), Y Intercepts : (0, 180)

Asymptotes : None

Extreme Points : Minimum (\frac{1 - 73}{2}, - 144), Maximum (\frac{1}{2}, \frac{3025}{16}), Minimum (\frac{1 + 73}{2}, - 144)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 144, \infty)

Solution steps

Domain of

x^{4} - 2 x^{3} - 35 x^{2} + 36 x + 180 : - \infty < x < \infty

Range of

x^{4} - 2 x^{3} - 35 x^{2} + 36 x + 180 : f (x) \geq - 144

Axis interception points of

x^{4} - 2 x^{3} - 35 x^{2} + 36 x + 180 :

X Intercepts

: (- 2, 0), (3, 0), (- 5, 0), (6, 0),

Y Intercepts

: (0, 180)

Asymptotes of

x^{4} - 2 x^{3} - 35 x^{2} + 36 x + 180 :

None

Extreme Points of

x^{4} - 2 x^{3} - 35 x^{2} + 36 x + 180 :

Minimum

(\frac{1 - 73}{2}, - 144),

Maximum

(\frac{1}{2}, \frac{3025}{16}),

Minimum

(\frac{1 + 73}{2}, - 144)

Graph

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Frequently Asked Questions (FAQ)

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