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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 2

X Intercepts : (3, 0), (- 1, 0), Y Intercepts : (0, - \frac{3}{2})

Vertex : Minimum (1, - 2)

Inverse : 2 x + 2 + 1, - 2 x + 2 + 1

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, \infty)

Solution steps

Domain of

\frac{1}{2} (x - 1) (x - 1) - 2 : - \infty < x < \infty

Range of

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

Axis interception points of

\frac{1}{2} (x - 1) (x - 1) - 2 :

X Intercepts

: (3, 0), (- 1, 0),

Y Intercepts

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

Vertex of

\frac{1}{2} (x - 1) (x - 1) - 2 :

Minimum

(1, - 2)

Inverse of

\frac{1}{2} (x - 1) (x - 1) - 2 : 2 x + 2 + 1, - 2 x + 2 + 1

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Frequently Asked Questions (FAQ)

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