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Popular >

f(x)=5x^3+20x^2-3x-12

Solution

f (x) = 5 x^{3} + 20 x^{2} - 3 x - 12

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 4, 0), (- \frac{3}{5}, 0), (\frac{3}{5}, 0), Y Intercepts : (0, - 12)

Asymptotes : None

Extreme Points : Maximum (- \frac{20 + 445}{15}, \frac{3740 + 178 445}{135} - 12), Minimum (\frac{- 20 + 445}{15}, \frac{3740 - 178 445}{135} - 12)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

5 x^{3} + 20 x^{2} - 3 x - 12 : - \infty < x < \infty

Range of

5 x^{3} + 20 x^{2} - 3 x - 12 : - \infty < f (x) < \infty

Axis interception points of

5 x^{3} + 20 x^{2} - 3 x - 12 :

X Intercepts

: (- 4, 0), (- \frac{3}{5}, 0), (\frac{3}{5}, 0),

Y Intercepts

: (0, - 12)

Asymptotes of

5 x^{3} + 20 x^{2} - 3 x - 12 :

None

Extreme Points of

5 x^{3} + 20 x^{2} - 3 x - 12 :

Maximum

(- \frac{20 + 445}{15}, \frac{3740 + 178 445}{135} - 12),

Minimum

(\frac{- 20 + 445}{15}, \frac{3740 - 178 445}{135} - 12)

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Frequently Asked Questions (FAQ)

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