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Popular >

h(x)=4x^2+3x-2

Solution

h (x) = 4 x^{2} + 3 x - 2

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{41}{16}

X Intercepts : (\frac{- 3 + 41}{8}, 0), (\frac{- 3 - 41}{8}, 0), Y Intercepts : (0, - 2)

Vertex : Minimum (- \frac{3}{8}, - \frac{41}{16})

Inverse : \frac{- 3 + 16 x + 41}{8}, \frac{- 3 - 16 x + 41}{8}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{41}{16}, \infty)

Solution steps

Domain of

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

Range of

4 x^{2} + 3 x - 2 : f (x) \geq - \frac{41}{16}

Axis interception points of

4 x^{2} + 3 x - 2 :

X Intercepts

: (\frac{- 3 + 41}{8}, 0), (\frac{- 3 - 41}{8}, 0),

Y Intercepts

: (0, - 2)

Vertex of

4 x^{2} + 3 x - 2 :

Minimum

(- \frac{3}{8}, - \frac{41}{16})

Inverse of

4 x^{2} + 3 x - 2 : \frac{- 3 + 16 x + 41}{8}, \frac{- 3 - 16 x + 41}{8}

Popular Examples

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f(x)=13x^2+8x-4

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Frequently Asked Questions (FAQ)

What is the h(x)=4x^2+3x-2 ?
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