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Popular >

f(x)=x^7-5x^5+3x^3-x+1

Solution

f (x) = x^{7} - 5 x^{5} + 3 x^{3} - x + 1

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0.86828 \dots, 0), (- 2.09612 \dots, 0), (2.08223 \dots, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (- \frac{7.95352 E 15}{2.5 E 15}, - (\frac{7.95352 E 15}{2.5 E 15})^{\frac{7}{2}} + 5 (\frac{7.95352 E 15}{2.5 E 15})^{\frac{5}{2}} - 3 (\frac{7.95352 E 15}{2.5 E 15})^{\frac{3}{2}} + \frac{7.95352 E 15}{2.5 E 15} + 1), Minimum (\frac{7.95352 E 15}{2.5 E 15}, (\frac{7.95352 E 15}{2.5 E 15})^{\frac{7}{2}} - 5 (\frac{7.95352 E 15}{2.5 E 15})^{\frac{5}{2}} + 3 (\frac{7.95352 E 15}{2.5 E 15})^{\frac{3}{2}} - \frac{7.95352 E 15}{2.5 E 15} + 1)

+1

Solution steps

Domain of

x^{7} - 5 x^{5} + 3 x^{3} - x + 1 : - \infty < x < \infty

Range of

x^{7} - 5 x^{5} + 3 x^{3} - x + 1 : - \infty < f (x) < \infty

Axis interception points of

x^{7} - 5 x^{5} + 3 x^{3} - x + 1 :

X Intercepts

: (0.86828 \dots, 0), (- 2.09612 \dots, 0), (2.08223 \dots, 0),

Y Intercepts

: (0, 1)

Asymptotes of

x^{7} - 5 x^{5} + 3 x^{3} - x + 1 :

None

Extreme Points of

x^{7} - 5 x^{5} + 3 x^{3} - x + 1 :

Maximum

(- \frac{7.95352 E 15}{2.5 E 15}, - (\frac{7.95352 E 15}{2.5 E 15})^{\frac{7}{2}} + 5 (\frac{7.95352 E 15}{2.5 E 15})^{\frac{5}{2}} - 3 (\frac{7.95352 E 15}{2.5 E 15})^{\frac{3}{2}} + \frac{7.95352 E 15}{2.5 E 15} + 1),

Minimum

(\frac{7.95352 E 15}{2.5 E 15}, (\frac{7.95352 E 15}{2.5 E 15})^{\frac{7}{2}} - 5 (\frac{7.95352 E 15}{2.5 E 15})^{\frac{5}{2}} + 3 (\frac{7.95352 E 15}{2.5 E 15})^{\frac{3}{2}} - \frac{7.95352 E 15}{2.5 E 15} + 1)

Popular Examples

f(x)=x^5(5-3x^4-2x^4)

f (x) = x^{5} (5 - 3 x^{4} - 2 x^{4})

f(x)=(x-1)/(sqrt(x^2-4))

f (x) = \frac{x - 1}{x ^{2} - 4}

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f(x)=(8x^2)/(x^2-9)

f (x) = \frac{8 x ^{2}}{x ^{2} - 9}

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

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

Frequently Asked Questions (FAQ)

What is the f(x)=x^7-5x^5+3x^3-x+1 ?
The f(x)=x^7-5x^5+3x^3-x+1 is