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Popular >

range of (x-1)^2+6

Solution

range

(x - 1)^{2} + 6

Solution

f (x) \geq 6

+1

Interval Notation

[6, \infty)

Solution steps

Vertex of

(x - 1)^{2} + 6 :

Minimum

(1, 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}) = (1, 6)

f (x) \geq 6

Popular Examples

extreme f(x)=7x+5/(x+2)extreme points

f (x) = 7 x + \frac{5}{x + 2}

inflection x^4-7x^3 inflection points

x^{4} - 7 x^{3}

domain of 5/(x-7)domain

\frac{5}{x - 7}

periodicity of sin(7x)periodicity

sin (7 x)

perpendicular 6x-9y=-54 perpendicular

6 x - 9 y = - 54

Frequently Asked Questions (FAQ)

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