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Popular >

range of x^2-6x+7

Solution

range

x^{2} - 6 x + 7

Solution

f (x) \geq - 2

+1

Interval Notation

[- 2, \infty)

Solution steps

Vertex of

x^{2} - 6 x + 7 :

Minimum

(3, - 2)

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, - 2)

f (x) \geq - 2

Popular Examples

intercepts of f(x)=((3))/((x-2))intercepts

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

perpendicular y=-1/3 x+3 2/3 ,\at x=15 perpendicular

y = - \frac{1}{3} x + 3 \frac{2}{3}, at x = 15

extreme f(x)=xsqrt(25-x^2)extreme points

f (x) = x 25 - x^{2}

domain of x^2+4 domain

x^{2} + 4

domain of f(x)=x^2-49 domain

f (x) = x^{2} - 49

Frequently Asked Questions (FAQ)

What is the range of x^2-6x+7 ?
The range of x^2-6x+7 is f(x)>=-2