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Popular >

f(x)=(x^3-9x)+(45-5x^2)

Solution

f (x) = (x^{3} - 9 x) + (45 - 5 x^{2})

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (5, 0), (- 3, 0), (3, 0), Y Intercepts : (0, 45)

Asymptotes : None

Extreme Points : Maximum (\frac{5 - 2 13}{3}, \frac{46 13 - 250}{27} + 30 + 613), Minimum (\frac{5 + 2 13}{3}, \frac{- 250 - 46 13}{27} + 30 - 613)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} - 9 x + 45 - 5 x^{2} : - \infty < x < \infty

Range of

x^{3} - 9 x + 45 - 5 x^{2} : - \infty < f (x) < \infty

Axis interception points of

x^{3} - 9 x + 45 - 5 x^{2} :

X Intercepts

: (5, 0), (- 3, 0), (3, 0),

Y Intercepts

: (0, 45)

Asymptotes of

x^{3} - 9 x + 45 - 5 x^{2} :

None

Extreme Points of

x^{3} - 9 x + 45 - 5 x^{2} :

Maximum

(\frac{5 - 2 13}{3}, \frac{46 13 - 250}{27} + 30 + 613),

Minimum

(\frac{5 + 2 13}{3}, \frac{- 250 - 46 13}{27} + 30 - 613)

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f(x)=(2x)/(sqrt(x^2+5))

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Frequently Asked Questions (FAQ)

What is the f(x)=(x^3-9x)+(45-5x^2) ?
The f(x)=(x^3-9x)+(45-5x^2) is