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Popular >

y=x^2+7x+3

Solution

y = x^{2} + 7 x + 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{37}{4}

X Intercepts : (\frac{- 7 + 37}{2}, 0), (\frac{- 7 - 37}{2}, 0), Y Intercepts : (0, 3)

Vertex : Minimum (- \frac{7}{2}, - \frac{37}{4})

Inverse : \frac{- 7 + 4 x + 37}{2}, \frac{- 7 - 4 x + 37}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

x^{2} + 7 x + 3 : - \infty < x < \infty

Range of

x^{2} + 7 x + 3 : f (x) \geq - \frac{37}{4}

Axis interception points of

x^{2} + 7 x + 3 :

X Intercepts

: (\frac{- 7 + 37}{2}, 0), (\frac{- 7 - 37}{2}, 0),

Y Intercepts

: (0, 3)

Vertex of

x^{2} + 7 x + 3 :

Minimum

(- \frac{7}{2}, - \frac{37}{4})

Inverse of

x^{2} + 7 x + 3 : \frac{- 7 + 4 x + 37}{2}, \frac{- 7 - 4 x + 37}{2}

Graph

Popular Examples

f (x) = \frac{1}{5 x + 6}

f(x)=(1+x)^{2/3}

f (x) = (1 + x)^{\frac{2}{3}}

f(x)=(0.7)^x(0.3)+(0.25)(0.75)^x

f (x) = (0.7)^{x} (0.3) + (0.25) (0.75)^{x}

g (x) = 3 x^{2} - 6 x

f(x)=-23x^7+x^9-6x^3+10+2x^2

f (x) = - 23 x^{7} + x^{9} - 6 x^{3} + 10 + 2 x^{2}

Frequently Asked Questions (FAQ)

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