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Popular >

range of x^2-4x-5

Solution

range

x^{2} - 4 x - 5

Solution

f (x) \geq - 9

+1

Interval Notation

[- 9, \infty)

Solution steps

Vertex of

x^{2} - 4 x - 5 :

Minimum

(2, - 9)

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}) = (2, - 9)

f (x) \geq - 9

Popular Examples

range of g(x)=sin(x)+1 range

g (x) = sin (x) + 1

range of x^2-4x+4 range

x^{2} - 4 x + 4

critical f(x)=(x+4)(x-1)^2 critical points

f (x) = (x + 4) (x - 1)^{2}

range of f(x)=sqrt(x+5)range

f (x) = x + 5

inflection f(x)=xsqrt(9-x)inflection points

f (x) = x 9 - x

Frequently Asked Questions (FAQ)

What is the range of x^2-4x-5 ?
The range of x^2-4x-5 is f(x)>=-9