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Popular >

y=x^5-4x^3+2x-3

Solution

y = x^{5} - 4 x^{3} + 2 x - 3

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (1.96904 \dots, 0), Y Intercepts : (0, - 3)

Asymptotes : None

Extreme Points : Maximum - \frac{6 + 26}{5}, - (\frac{6 + 26}{5})^{\frac{5}{2}} + 4 (\frac{6 + 26}{5})^{\frac{3}{2}} - 2 \frac{6 + 26}{5} - 3, Minimum - \frac{6 - 26}{5}, - (\frac{6 - 26}{5})^{\frac{5}{2}} + 4 (\frac{6 - 26}{5})^{\frac{3}{2}} - 2 \frac{6 - 26}{5} - 3, Maximum \frac{6 - 26}{5}, (\frac{6 - 26}{5})^{\frac{5}{2}} - 4 (\frac{6 - 26}{5})^{\frac{3}{2}} + 2 \frac{6 - 26}{5} - 3, Minimum \frac{6 + 26}{5}, (\frac{6 + 26}{5})^{\frac{5}{2}} - 4 (\frac{6 + 26}{5})^{\frac{3}{2}} + 2 \frac{6 + 26}{5} - 3

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

x^{5} - 4 x^{3} + 2 x - 3 :

X Intercepts

: (1.96904 \dots, 0),

Y Intercepts

: (0, - 3)

Asymptotes of

x^{5} - 4 x^{3} + 2 x - 3 :

None

Extreme Points of

x^{5} - 4 x^{3} + 2 x - 3 :

Maximum

- \frac{6 + 26}{5}, - (\frac{6 + 26}{5})^{\frac{5}{2}} + 4 (\frac{6 + 26}{5})^{\frac{3}{2}} - 2 \frac{6 + 26}{5} - 3,

Minimum

- \frac{6 - 26}{5}, - (\frac{6 - 26}{5})^{\frac{5}{2}} + 4 (\frac{6 - 26}{5})^{\frac{3}{2}} - 2 \frac{6 - 26}{5} - 3,

Maximum

\frac{6 - 26}{5}, (\frac{6 - 26}{5})^{\frac{5}{2}} - 4 (\frac{6 - 26}{5})^{\frac{3}{2}} + 2 \frac{6 - 26}{5} - 3,

Minimum

\frac{6 + 26}{5}, (\frac{6 + 26}{5})^{\frac{5}{2}} - 4 (\frac{6 + 26}{5})^{\frac{3}{2}} + 2 \frac{6 + 26}{5} - 3

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Frequently Asked Questions (FAQ)

What is the y=x^5-4x^3+2x-3 ?
The y=x^5-4x^3+2x-3 is