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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 2.68909 \dots, 0), Y Intercepts : (0, 6)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

x^{3} - 5 x + 6 :

X Intercepts

: (- 2.68909 \dots, 0),

Y Intercepts

: (0, 6)

Asymptotes of

x^{3} - 5 x + 6 :

None

Extreme Points of

x^{3} - 5 x + 6 :

Maximum

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

Minimum

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

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Frequently Asked Questions (FAQ)

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