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Popular >

y=x^2+7x-5

Solution

y = x^{2} + 7 x - 5

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{69}{4}

X Intercepts : (\frac{- 7 + 69}{2}, 0), (\frac{- 7 - 69}{2}, 0), Y Intercepts : (0, - 5)

Vertex : Minimum (- \frac{7}{2}, - \frac{69}{4})

Inverse : \frac{- 7 + 4 x + 69}{2}, \frac{- 7 - 4 x + 69}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{69}{4}, \infty)

Solution steps

Domain of

x^{2} + 7 x - 5 : - \infty < x < \infty

Range of

x^{2} + 7 x - 5 : f (x) \geq - \frac{69}{4}

Axis interception points of

x^{2} + 7 x - 5 :

X Intercepts

: (\frac{- 7 + 69}{2}, 0), (\frac{- 7 - 69}{2}, 0),

Y Intercepts

: (0, - 5)

Vertex of

x^{2} + 7 x - 5 :

Minimum

(- \frac{7}{2}, - \frac{69}{4})

Inverse of

x^{2} + 7 x - 5 : \frac{- 7 + 4 x + 69}{2}, \frac{- 7 - 4 x + 69}{2}

Popular Examples

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y = \frac{1}{2} (x + 2)^{2} - 4

y= 1/2 (x+2)^2+2

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f(s)=(s^3+3s^2-s+1)/(4s^4-2s^3+s^2-s+2)

f (s) = \frac{s ^{3} + 3 s ^{2} - s + 1}{4 s ^{4} - 2 s ^{3} + s ^{2} - s + 2}

f(x_{-2})=x_{-2}

f (x_{- 2}) = x_{- 2}

Frequently Asked Questions (FAQ)

What is the y=x^2+7x-5 ?
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