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Popular Calculus >

f(x)=3x^2-2

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 2

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

Vertex : Minimum (0, - 2)

Inverse : \frac{x + 2}{3}, - \frac{x + 2}{3}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, \infty)

Solution steps

Domain of

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

Range of

3 x^{2} - 2 : f (x) \geq - 2

Axis interception points of

3 x^{2} - 2 :

X Intercepts

: (\frac{2}{3}, 0), (- \frac{2}{3}, 0),

Y Intercepts

: (0, - 2)

Vertex of

3 x^{2} - 2 :

Minimum

(0, - 2)

Inverse of

3 x^{2} - 2 : \frac{x + 2}{3}, - \frac{x + 2}{3}

Graph

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Frequently Asked Questions (FAQ)

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