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Popular >

range of x^2+2x-2

Solution

range

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

range of f(x)=3^x+4 range

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

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

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

periodicity of f(x)=-5tan(2x-pi/3)periodicity

f (x) = - 5 tan (2 x - \frac{π}{3})

inflection x^4-4x^3+6 inflection points

x^{4} - 4 x^{3} + 6

inverse of f(x)= 3/(4-x)inverse

f (x) = \frac{3}{4 - x}

Frequently Asked Questions (FAQ)

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