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Popular Functions >

range of f(x)=x^2+4x-5

Solution

range

f (x) = 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

Graph

Popular Examples

symmetry (x-2)^2-1

sy mm e t ry (x - 2)^{2} - 1

intercepts of x^3-7x+6

in t erce pt s x^{3} - 7 x + 6

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

e x t re m e f (x) = - x^{3} + 3 x^{2} - 4

domain of f(x)=2+1/x

d o main f (x) = 2 + \frac{1}{x}

domain of f(x)=((1-2x))/(5+x)

d o main f (x) = \frac{( 1 - 2 x )}{5 + x}

Frequently Asked Questions (FAQ)

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