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Popular Functions >

f(x)=3x^5+2x^3-6x+10

Solution

f (x) = 3 x^{5} + 2 x^{3} - 6 x + 10

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 1.34497 \dots, 0), Y Intercepts : (0, 10)

Asymptotes : None

Extreme Points : Maximum - \frac{- 1 + 11}{5}, - 3 (\frac{- 1 + 11}{5})^{\frac{5}{2}} - 2 (\frac{- 1 + 11}{5})^{\frac{3}{2}} + 6 \frac{- 1 + 11}{5} + 10, Minimum \frac{- 1 + 11}{5}, 3 (\frac{- 1 + 11}{5})^{\frac{5}{2}} + 2 (\frac{- 1 + 11}{5})^{\frac{3}{2}} - 6 \frac{- 1 + 11}{5} + 10

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

3 x^{5} + 2 x^{3} - 6 x + 10 : - \infty < x < \infty

Range of

3 x^{5} + 2 x^{3} - 6 x + 10 : - \infty < f (x) < \infty

Axis interception points of

3 x^{5} + 2 x^{3} - 6 x + 10 :

X Intercepts

: (- 1.34497 \dots, 0),

Y Intercepts

: (0, 10)

Asymptotes of

3 x^{5} + 2 x^{3} - 6 x + 10 :

None

Extreme Points of

3 x^{5} + 2 x^{3} - 6 x + 10 :

Maximum

- \frac{- 1 + 11}{5}, - 3 (\frac{- 1 + 11}{5})^{\frac{5}{2}} - 2 (\frac{- 1 + 11}{5})^{\frac{3}{2}} + 6 \frac{- 1 + 11}{5} + 10,

Minimum

\frac{- 1 + 11}{5}, 3 (\frac{- 1 + 11}{5})^{\frac{5}{2}} + 2 (\frac{- 1 + 11}{5})^{\frac{3}{2}} - 6 \frac{- 1 + 11}{5} + 10

Graph

Popular Examples

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y=sqrt(x/((x^2-1)))

y=((1+sin^2(x)))/2

y=x^2*sin(x)+2x*cos(x)-2sin(x)

Frequently Asked Questions (FAQ)

What is the f(x)=3x^5+2x^3-6x+10 ?
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