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Popular Functions >

range of x^2-2x-3

Solution

range

x^{2} - 2 x - 3

Solution

f (x) \geq - 4

+1

Interval Notation

[- 4, \infty)

Solution steps

Vertex of

x^{2} - 2 x - 3 :

Minimum

(1, - 4)

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, - 4)

f (x) \geq - 4

Graph

Popular Examples

amplitude of 1/9 sin(7x+pi/2)

inverse of (2x+3)/(5x+4)

intercepts of y=x-4

asymptotes of f(x)=(x^2+x-9)/(x-2)

domain of f(x)=(3x+5)/(2x-3)

Frequently Asked Questions (FAQ)

What is the range of x^2-2x-3 ?
The range of x^2-2x-3 is f(x)>=-4