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Popular >

f(v)=4v^2+7v-7

Solution

f (v) = 4 v^{2} + 7 v - 7

Solution

Domain : - \infty < v < \infty

Range : f (v) \geq - \frac{161}{16}

X Intercepts : (\frac{- 7 + 161}{8}, 0), (\frac{- 7 - 161}{8}, 0), Y Intercepts : (0, - 7)

Vertex : Minimum (- \frac{7}{8}, - \frac{161}{16})

Inverse : \frac{- 7 + 16 v + 161}{8}, \frac{- 7 - 16 v + 161}{8}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{161}{16}, \infty)

Solution steps

Domain of

4 v^{2} + 7 v - 7 : - \infty < v < \infty

Range of

4 v^{2} + 7 v - 7 : f (v) \geq - \frac{161}{16}

Axis interception points of

4 v^{2} + 7 v - 7 :

X Intercepts

: (\frac{- 7 + 161}{8}, 0), (\frac{- 7 - 161}{8}, 0),

Y Intercepts

: (0, - 7)

Vertex of

4 v^{2} + 7 v - 7 :

Minimum

(- \frac{7}{8}, - \frac{161}{16})

Inverse of

4 v^{2} + 7 v - 7 : \frac{- 7 + 16 v + 161}{8}, \frac{- 7 - 16 v + 161}{8}

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Frequently Asked Questions (FAQ)

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