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Popular >

f(x)=2x^3-9x^2+x+15

Solution

f (x) = 2 x^{3} - 9 x^{2} + x + 15

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 1.11231 \dots, 0), (1.74227 \dots, 0), (3.87004 \dots, 0), Y Intercepts : (0, 15)

Asymptotes : None

Extreme Points : Maximum (\frac{9 - 5 3}{6}, \frac{125 3 - 216}{18} + 15), Minimum (\frac{9 + 5 3}{6}, \frac{- 216 - 125 3}{18} + 15)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

2 x^{3} - 9 x^{2} + x + 15 : - \infty < x < \infty

Range of

2 x^{3} - 9 x^{2} + x + 15 : - \infty < f (x) < \infty

Axis interception points of

2 x^{3} - 9 x^{2} + x + 15 :

X Intercepts

: (- 1.11231 \dots, 0), (1.74227 \dots, 0), (3.87004 \dots, 0),

Y Intercepts

: (0, 15)

Asymptotes of

2 x^{3} - 9 x^{2} + x + 15 :

None

Extreme Points of

2 x^{3} - 9 x^{2} + x + 15 :

Maximum

(\frac{9 - 5 3}{6}, \frac{125 3 - 216}{18} + 15),

Minimum

(\frac{9 + 5 3}{6}, \frac{- 216 - 125 3}{18} + 15)

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Frequently Asked Questions (FAQ)

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