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Popular >

f(x)=x^2+7x+12

Solution

f (x) = x^{2} + 7 x + 12

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{1}{4}

X Intercepts : (- 3, 0), (- 4, 0), Y Intercepts : (0, 12)

Vertex : Minimum (- \frac{7}{2}, - \frac{1}{4})

Inverse : \frac{- 7 + 4 x + 1}{2}, \frac{- 7 - 4 x + 1}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

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

Solution steps

Domain of

x^{2} + 7 x + 12 : - \infty < x < \infty

Range of

x^{2} + 7 x + 12 : f (x) \geq - \frac{1}{4}

Axis interception points of

x^{2} + 7 x + 12 :

X Intercepts

: (- 3, 0), (- 4, 0),

Y Intercepts

: (0, 12)

Vertex of

x^{2} + 7 x + 12 :

Minimum

(- \frac{7}{2}, - \frac{1}{4})

Inverse of

x^{2} + 7 x + 12 : \frac{- 7 + 4 x + 1}{2}, \frac{- 7 - 4 x + 1}{2}

Popular Examples

asymptotes of f(x)=6(0.25)^x asymptotes

f (x) = 6 (0.25)^{x}

asymptotes of f(x)=(x^2-4x-5)/(x^2+2)asymptotes

f (x) = \frac{x ^{2} - 4 x - 5}{x ^{2} + 2}

range of y=x^2-1 range

y = x^{2} - 1

inverse of y=-8x+3 inverse

y = - 8 x + 3

midpoint (-8,-2),(-7,8)midpoint

(- 8, - 2), (- 7, 8)

Frequently Asked Questions (FAQ)

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