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Popular >

range of f(x)=(x-7)^2-11

Solution

range

f (x) = (x - 7)^{2} - 11

Solution

f (x) \geq - 11

+1

Interval Notation

[- 11, \infty)

Solution steps

Vertex of

(x - 7)^{2} - 11 :

Minimum

(7, - 11)

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}) = (7, - 11)

f (x) \geq - 11

Popular Examples

slope ofintercept 5-(3y+2x)=8(x-y)slope intercept

5 - (3 y + 2 x) = 8 (x - y)

inverse of x^2+5 inverse

x^{2} + 5

periodicity of f(x)=sin(2t)periodicity

f (x) = sin (2 t)

slope of 4x+y=8 slope

4 x + y = 8

intercepts of f(x)=3x+2 intercepts

f (x) = 3 x + 2

Frequently Asked Questions (FAQ)

What is the range of f(x)=(x-7)^2-11 ?
The range of f(x)=(x-7)^2-11 is f(x)>=-11