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Popular Calculus >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 1.42621 \dots, 0), Y Intercepts : (0, 3)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- 1.42621 \dots, 0),

Y Intercepts

: (0, 3)

Asymptotes of

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

None

Extreme Points of

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

Maximum

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

Saddle

(0, 3),

Minimum

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

Graph

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Frequently Asked Questions (FAQ)

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