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Popular Functions >

f(x)= 1/2 x^2-1

Solution

f (x) = \frac{1}{2} x^{2} - 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 1

X Intercepts : (2, 0), (- 2, 0), Y Intercepts : (0, - 1)

Vertex : Minimum (0, - 1)

Inverse : 2 x + 2, - 2 x + 2

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, \infty)

Solution steps

Domain of

\frac{1}{2} x^{2} - 1 : - \infty < x < \infty

Range of

\frac{1}{2} x^{2} - 1 : f (x) \geq - 1

Axis interception points of

\frac{1}{2} x^{2} - 1 :

X Intercepts

: (2, 0), (- 2, 0),

Y Intercepts

: (0, - 1)

Vertex of

\frac{1}{2} x^{2} - 1 :

Minimum

(0, - 1)

Inverse of

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

Graph

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f(x)=2x^2+4-6x-2x^3+x^2+1

Frequently Asked Questions (FAQ)

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