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Popular >

range of (1/2 x-1)^2-2

Solution

range

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

Solution

f (x) \geq - 2

+1

Interval Notation

[- 2, \infty)

Solution steps

Vertex of

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

Minimum

(2, - 2)

For a parabola

a x^{2} + b x + c

with Vertex

(x_{v}, y_{v})

If

a < 0

the range is

f (x) \leq y_{v}

If

a > 0

the range is

f (x) \geq y_{v}

a = \frac{1}{4},

Vertex

(x_{v}, y_{v}) = (2, - 2)

f (x) \geq - 2

Popular Examples

inverse of f(x)=\sqrt[3]{4x}inverse

domain of f(x)=sqrt(x+19)domain

f (x) = x + 19

symmetry-x^2+6x symmetry

- x^{2} + 6 x

inverse of y=log_{4}(x+3)inverse

y = lo g_{4} (x + 3)

inverse of y=log_{2}(x)inverse

y = lo g_{2} (x)

Frequently Asked Questions (FAQ)

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