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Popular Functions >

f(x)=3x^2-8x-32

Solution

f (x) = 3 x^{2} - 8 x - 32

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{112}{3}

X Intercepts : (\frac{4 ( 1 + 7 )}{3}, 0), (\frac{4 ( 1 - 7 )}{3}, 0), Y Intercepts : (0, - 32)

Vertex : Minimum (\frac{4}{3}, - \frac{112}{3})

Inverse : \frac{4 + 3 x + 112}{3}, \frac{4 - 3 x + 112}{3}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{112}{3}, \infty)

Solution steps

Domain of

3 x^{2} - 8 x - 32 : - \infty < x < \infty

Range of

3 x^{2} - 8 x - 32 : f (x) \geq - \frac{112}{3}

Axis interception points of

3 x^{2} - 8 x - 32 :

X Intercepts

: (\frac{4 ( 1 + 7 )}{3}, 0), (\frac{4 ( 1 - 7 )}{3}, 0),

Y Intercepts

: (0, - 32)

Vertex of

3 x^{2} - 8 x - 32 :

Minimum

(\frac{4}{3}, - \frac{112}{3})

Inverse of

3 x^{2} - 8 x - 32 : \frac{4 + 3 x + 112}{3}, \frac{4 - 3 x + 112}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=3x^2-8x-32 ?
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