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Popular Functions >

f(x)=2x^2-3x-12

Solution

f (x) = 2 x^{2} - 3 x - 12

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{105}{8}

X Intercepts : (\frac{3 + 105}{4}, 0), (\frac{3 - 105}{4}, 0), Y Intercepts : (0, - 12)

Vertex : Minimum (\frac{3}{4}, - \frac{105}{8})

Inverse : \frac{3 + 8 x + 105}{4}, \frac{3 - 8 x + 105}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{105}{8}, \infty)

Solution steps

Domain of

2 x^{2} - 3 x - 12 : - \infty < x < \infty

Range of

2 x^{2} - 3 x - 12 : f (x) \geq - \frac{105}{8}

Axis interception points of

2 x^{2} - 3 x - 12 :

X Intercepts

: (\frac{3 + 105}{4}, 0), (\frac{3 - 105}{4}, 0),

Y Intercepts

: (0, - 12)

Vertex of

2 x^{2} - 3 x - 12 :

Minimum

(\frac{3}{4}, - \frac{105}{8})

Inverse of

2 x^{2} - 3 x - 12 : \frac{3 + 8 x + 105}{4}, \frac{3 - 8 x + 105}{4}

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=2x^2-3x-12 ?
The f(x)=2x^2-3x-12 is