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Popular >

f(r)=r^3-8r^2+21r+18

Solution

f (r) = r^{3} - 8 r^{2} + 21 r + 18

Solution

Domain : - \infty < r < \infty

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

X Intercepts : (- 0.67114 \dots, 0), Y Intercepts : (0, 18)

Asymptotes : None

Extreme Points : Maximum (\frac{7}{3}, \frac{976}{27}), Minimum (3, 36)

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Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

r^{3} - 8 r^{2} + 21 r + 18 : - \infty < r < \infty

Range of

r^{3} - 8 r^{2} + 21 r + 18 : - \infty < f (r) < \infty

Axis interception points of

r^{3} - 8 r^{2} + 21 r + 18 :

X Intercepts

: (- 0.67114 \dots, 0),

Y Intercepts

: (0, 18)

Asymptotes of

r^{3} - 8 r^{2} + 21 r + 18 :

None

Extreme Points of

r^{3} - 8 r^{2} + 21 r + 18 :

Maximum

(\frac{7}{3}, \frac{976}{27}),

Minimum

(3, 36)

Popular Examples

y=(x^2+2x^3-1)/(4x^4)

y = \frac{x ^{2} + 2 x ^{3} - 1}{4 x ^{4}}

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

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

f(x)=x^4*(4-6x^2-3x^2)

f (x) = x^{4} \cdot (4 - 6 x^{2} - 3 x^{2})

f (x) = 5 x + 23

f (x) = 84 + 2 x - x^{3}

Frequently Asked Questions (FAQ)

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