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Popular >

f(x)=|x^2+5x+6|

Solution

f (x) = x^{2} + 5 x + 6

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

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

Asymptotes : None

Extreme Points : Minimum (- 3, 0), Maximum (- \frac{5}{2}, \frac{1}{4}), Minimum (- 2, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

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

Range of

x^{2} + 5 x + 6 : f (x) \geq 0

Axis interception points of

x^{2} + 5 x + 6 :

X Intercepts

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

Y Intercepts

: (0, 6)

Asymptotes of

x^{2} + 5 x + 6 :

None

Extreme Points of

x^{2} + 5 x + 6 :

Minimum

(- 3, 0),

Maximum

(- \frac{5}{2}, \frac{1}{4}),

Minimum

(- 2, 0)

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Frequently Asked Questions (FAQ)

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