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Popular Functions >

f(x)=2x^2-4+1

Solution

f (x) = 2 x^{2} - 4 + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 3

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

Vertex : Minimum (0, - 3)

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, \infty)

Solution steps

Domain of

2 x^{2} - 4 + 1 : - \infty < x < \infty

Range of

2 x^{2} - 4 + 1 : f (x) \geq - 3

Axis interception points of

2 x^{2} - 4 + 1 :

X Intercepts

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

Y Intercepts

: (0, - 3)

Vertex of

2 x^{2} - 4 + 1 :

Minimum

(0, - 3)

Inverse of

2 x^{2} - 4 + 1 : \frac{x + 3}{2}, - \frac{x + 3}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=2x^2-4+1 ?
The f(x)=2x^2-4+1 is