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Popular >

range of f(x)=x^2-6x+3

Solution

range

f (x) = x^{2} - 6 x + 3

Solution

f (x) \geq - 6

+1

Interval Notation

[- 6, \infty)

Solution steps

Vertex of

x^{2} - 6 x + 3 :

Minimum

(3, - 6)

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, - 6)

f (x) \geq - 6

Popular Examples

inflection f(x)=(6x)/(1+x^2)inflection points

f (x) = \frac{6 x}{1 + x ^{2}}

range of tan(x)range

tan (x)

range of 3/(sqrt(2x-4))range

\frac{3}{2 x - 4}

range of f(x)=(x-4)/(x-5)range

f (x) = \frac{x - 4}{x - 5}

asymptotes of f(x)=(10x^3+2)/(2x^3)asymptotes

f (x) = \frac{10 x ^{3} + 2}{2 x ^{3}}

Frequently Asked Questions (FAQ)

What is the range of f(x)=x^2-6x+3 ?
The range of f(x)=x^2-6x+3 is f(x)>=-6