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Popular Functions >

range of f(x)=x^2-6x+10

Solution

range

f (x) = x^{2} - 6 x + 10

Solution

f (x) \geq 1

+1

Interval Notation

[1, \infty)

Solution steps

Vertex of

x^{2} - 6 x + 10 :

Minimum

(3, 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}) = (3, 1)

f (x) \geq 1

Graph

Popular Examples

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inverse of y=x^2-3

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Frequently Asked Questions (FAQ)

What is the range of f(x)=x^2-6x+10 ?
The range of f(x)=x^2-6x+10 is f(x)>= 1