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Popular >

f(x)=4x^3+3x^2-25x+6

Solution

f (x) = 4 x^{3} + 3 x^{2} - 25 x + 6

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (2, 0), (\frac{1}{4}, 0), (- 3, 0), Y Intercepts : (0, 6)

Asymptotes : None

Extreme Points : Maximum (- \frac{3 + 309}{12}, \frac{459 + 103 309}{72} + 6), Minimum (\frac{- 3 + 309}{12}, \frac{459 - 103 309}{72} + 6)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

4 x^{3} + 3 x^{2} - 25 x + 6 : - \infty < x < \infty

Range of

4 x^{3} + 3 x^{2} - 25 x + 6 : - \infty < f (x) < \infty

Axis interception points of

4 x^{3} + 3 x^{2} - 25 x + 6 :

X Intercepts

: (2, 0), (\frac{1}{4}, 0), (- 3, 0),

Y Intercepts

: (0, 6)

Asymptotes of

4 x^{3} + 3 x^{2} - 25 x + 6 :

None

Extreme Points of

4 x^{3} + 3 x^{2} - 25 x + 6 :

Maximum

(- \frac{3 + 309}{12}, \frac{459 + 103 309}{72} + 6),

Minimum

(\frac{- 3 + 309}{12}, \frac{459 - 103 309}{72} + 6)

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Frequently Asked Questions (FAQ)

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