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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 - \frac{1}{4}

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

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

Inverse : \frac{- 5 + 4 x + 1}{2}, \frac{- 5 - 4 x + 1}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{4}, \infty)

Solution steps

Domain of

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

Range of

x^{2} + 5 x + 6 : f (x) \geq - \frac{1}{4}

Axis interception points of

x^{2} + 5 x + 6 :

X Intercepts

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

Y Intercepts

: (0, 6)

Vertex of

x^{2} + 5 x + 6 :

Minimum

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

Inverse of

x^{2} + 5 x + 6 : \frac{- 5 + 4 x + 1}{2}, \frac{- 5 - 4 x + 1}{2}

Popular Examples

domain of (x^2-4)/(x^3)domain

\frac{x ^{2} - 4}{x ^{3}}

inverse of (3-2x)/(3x+4)inverse

\frac{3 - 2 x}{3 x + 4}

inverse of f(x)=-3x+3+sqrt(18x-18)inverse

f (x) = - 3 x + 3 + 18 x - 18

inverse of f(x)=5-2x^3 inverse

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

domain of f(x)=25x-6 domain

f (x) = 25 x - 6

Frequently Asked Questions (FAQ)

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