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Popular >

f(x)=2x^3-10x^2-8x+40

Solution

f (x) = 2 x^{3} - 10 x^{2} - 8 x + 40

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (5, 0), (- 2, 0), (2, 0), Y Intercepts : (0, 40)

Asymptotes : None

Extreme Points : Maximum (\frac{5 - 37}{3}, \frac{148 37 - 860}{27} + 40), Minimum (\frac{5 + 37}{3}, \frac{- 860 - 148 37}{27} + 40)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

2 x^{3} - 10 x^{2} - 8 x + 40 : - \infty < x < \infty

Range of

2 x^{3} - 10 x^{2} - 8 x + 40 : - \infty < f (x) < \infty

Axis interception points of

2 x^{3} - 10 x^{2} - 8 x + 40 :

X Intercepts

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

Y Intercepts

: (0, 40)

Asymptotes of

2 x^{3} - 10 x^{2} - 8 x + 40 :

None

Extreme Points of

2 x^{3} - 10 x^{2} - 8 x + 40 :

Maximum

(\frac{5 - 37}{3}, \frac{148 37 - 860}{27} + 40),

Minimum

(\frac{5 + 37}{3}, \frac{- 860 - 148 37}{27} + 40)

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Frequently Asked Questions (FAQ)

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