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Popular >

range of x^2-4x+5

Solution

range

x^{2} - 4 x + 5

Solution

f (x) \geq 1

+1

Interval Notation

[1, \infty)

Solution steps

Vertex of

x^{2} - 4 x + 5 :

Minimum

(2, 1)

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, 1)

f (x) \geq 1

Popular Examples

inverse of f(x)=(2x+3)/(3x-1)inverse

f (x) = \frac{2 x + 3}{3 x - 1}

domain of f(x)=x^2-2x-9 domain

f (x) = x^{2} - 2 x - 9

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

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

domain of f(x)=(x+3)^2 domain

f (x) = (x + 3)^{2}

range of f(x)= x/(sqrt(x+1))range

f (x) = \frac{x}{x + 1}

Frequently Asked Questions (FAQ)

What is the range of x^2-4x+5 ?
The range of x^2-4x+5 is f(x)>= 1