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Popular Functions >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 1.58258 \dots, 0), Y Intercepts : (0, 2)

Asymptotes : None

Extreme Points : Maximum (- \frac{6}{5}, - (\frac{6}{5})^{\frac{5}{2}} + 2 (\frac{6}{5})^{\frac{3}{2}} + 2), Saddle (0, 2), Minimum (\frac{6}{5}, (\frac{6}{5})^{\frac{5}{2}} - 2 (\frac{6}{5})^{\frac{3}{2}} + 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- 1.58258 \dots, 0),

Y Intercepts

: (0, 2)

Asymptotes of

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

None

Extreme Points of

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

Maximum

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

Saddle

(0, 2),

Minimum

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

Graph

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Frequently Asked Questions (FAQ)

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