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Popular >

f(x)=5x^3-4x^2-61x-12

Solution

f (x) = 5 x^{3} - 4 x^{2} - 61 x - 12

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 3, 0), (- \frac{1}{5}, 0), (4, 0), Y Intercepts : (0, - 12)

Asymptotes : None

Extreme Points : Maximum (\frac{4 - 7 19}{15}, \frac{13034 19 - 11108}{675} - 12), Minimum (\frac{4 + 7 19}{15}, \frac{- 11108 - 13034 19}{675} - 12)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

5 x^{3} - 4 x^{2} - 61 x - 12 : - \infty < x < \infty

Range of

5 x^{3} - 4 x^{2} - 61 x - 12 : - \infty < f (x) < \infty

Axis interception points of

5 x^{3} - 4 x^{2} - 61 x - 12 :

X Intercepts

: (- 3, 0), (- \frac{1}{5}, 0), (4, 0),

Y Intercepts

: (0, - 12)

Asymptotes of

5 x^{3} - 4 x^{2} - 61 x - 12 :

None

Extreme Points of

5 x^{3} - 4 x^{2} - 61 x - 12 :

Maximum

(\frac{4 - 7 19}{15}, \frac{13034 19 - 11108}{675} - 12),

Minimum

(\frac{4 + 7 19}{15}, \frac{- 11108 - 13034 19}{675} - 12)

Popular Examples

y= 1/(4x^2-4x-3)

y = \frac{1}{4 x ^{2} - 4 x - 3}

f(t)=(1-cos(t))/(t^2)

f (t) = \frac{1 - cos ( t )}{t ^{2}}

y=xsqrt(x+\sqrt{x+1)}

y = x x + x + 1

y = \frac{2}{x ^{- 8}}

f(x)=sqrt(e^{2x)+e^{-2x}+2}

f (x) = e^{2 x} + e^{- 2 x} + 2

Frequently Asked Questions (FAQ)

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