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Popular >

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

Popular Examples

range of f(x)= 4/(x^2-2x)range

f (x) = \frac{4}{x ^{2} - 2 x}

inverse of f(x)=18500(0.49-x^2)inverse

f (x) = 18500 (0.49 - x^{2})

distance (15,-17),(-20,-5)distance

(15, - 17), (- 20, - 5)

distance (0,7),(-2,-1)distance

(0, 7), (- 2, - 1)

monotone f(x)=((x-2)^2)/(x-1)monotone intervals

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

Frequently Asked Questions (FAQ)

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