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Popular >

range of f(x)=x^2-2x-2

Solution

range

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

Solution

f (x) \geq - 3

+1

Interval Notation

[- 3, \infty)

Solution steps

Vertex of

x^{2} - 2 x - 2 :

Minimum

(1, - 3)

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 = 1,

Vertex

(x_{v}, y_{v}) = (1, - 3)

f (x) \geq - 3

Popular Examples

parity f(x)=-2x^4+3x^2 parity

f (x) = - 2 x^{4} + 3 x^{2}

periodicity of 7(x)cos(1/2 x)periodicity

7 (x) cos (\frac{1}{2} x)

inverse of f(x)=-1/2 x+2 inverse

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

inflection f(x)=4x^3-12x inflection points

f (x) = 4 x^{3} - 12 x

slope ofintercept y=3x-4 slope intercept

y = 3 x - 4

Frequently Asked Questions (FAQ)

What is the range of f(x)=x^2-2x-2 ?
The range of f(x)=x^2-2x-2 is f(x)>=-3