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Popular >

g(x)=(x^2-7)(2x^3+5x)

Solution

g (x) = (x^{2} - 7) (2 x^{3} + 5 x)

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (- 7, 0), (7, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum - \frac{27 + 2129}{2 5}, \frac{( 113 - 2129 ) ( 27 + 2129 ) ^{\frac{3}{2}}}{400 5} + \frac{( 113 - 2129 ) 27 + 2129}{8 5}, Minimum \frac{27 + 2129}{2 5}, \frac{( 2129 - 113 ) ( 27 + 2129 ) ^{\frac{3}{2}}}{400 5} + \frac{( 2129 - 113 ) 27 + 2129}{8 5}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

(x^{2} - 7) (2 x^{3} + 5 x) : - \infty < x < \infty

Range of

(x^{2} - 7) (2 x^{3} + 5 x) : - \infty < f (x) < \infty

Axis interception points of

(x^{2} - 7) (2 x^{3} + 5 x) :

X Intercepts

: (0, 0), (- 7, 0), (7, 0),

Y Intercepts

: (0, 0)

Asymptotes of

(x^{2} - 7) (2 x^{3} + 5 x) :

None

Extreme Points of

(x^{2} - 7) (2 x^{3} + 5 x) :

Maximum

- \frac{27 + 2129}{2 5}, \frac{( 113 - 2129 ) ( 27 + 2129 ) ^{\frac{3}{2}}}{400 5} + \frac{( 113 - 2129 ) 27 + 2129}{8 5},

Minimum

\frac{27 + 2129}{2 5}, \frac{( 2129 - 113 ) ( 27 + 2129 ) ^{\frac{3}{2}}}{400 5} + \frac{( 2129 - 113 ) 27 + 2129}{8 5}

Popular Examples

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f(x)=(x^3+2)/(x^2)

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f (a) = 1 + a^{2}

Frequently Asked Questions (FAQ)

What is the g(x)=(x^2-7)(2x^3+5x) ?
The g(x)=(x^2-7)(2x^3+5x) is