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Popular >

Q(x)=x^3-2x^2-5x+6

Solution

Q (x) = x^{3} - 2 x^{2} - 5 x + 6

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (1, 0), (- 2, 0), (3, 0), Y Intercepts : (0, 6)

Asymptotes : None

Extreme Points : Maximum (\frac{2 - 19}{3}, \frac{38 19 - 106}{27} + 6), Minimum (\frac{2 + 19}{3}, \frac{- 106 - 38 19}{27} + 6)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} - 2 x^{2} - 5 x + 6 : - \infty < x < \infty

Range of

x^{3} - 2 x^{2} - 5 x + 6 : - \infty < f (x) < \infty

Axis interception points of

x^{3} - 2 x^{2} - 5 x + 6 :

X Intercepts

: (1, 0), (- 2, 0), (3, 0),

Y Intercepts

: (0, 6)

Asymptotes of

x^{3} - 2 x^{2} - 5 x + 6 :

None

Extreme Points of

x^{3} - 2 x^{2} - 5 x + 6 :

Maximum

(\frac{2 - 19}{3}, \frac{38 19 - 106}{27} + 6),

Minimum

(\frac{2 + 19}{3}, \frac{- 106 - 38 19}{27} + 6)

Popular Examples

h (x) = x^{2} + 2 x - 8

y = ∣ x + 5 ∣ + 3

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

f(θ)=sin(θ)tan(θ)csc^2(θ)

f (θ) = sin (θ) tan (θ) csc^{2} (θ)

f(x)=(-1)/(16)x^2+x

f (x) = \frac{- 1}{16} x^{2} + x

Frequently Asked Questions (FAQ)

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