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Popular >

range of x^2-12

Solution

range

x^{2} - 12

Solution

f (x) \geq - 12

+1

Interval Notation

[- 12, \infty)

Solution steps

Vertex of

x^{2} - 12 :

Minimum

(0, - 12)

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}) = (0, - 12)

f (x) \geq - 12

Popular Examples

domain of f(x)=-x+3 domain

f (x) = - x + 3

inverse of (x-6)/(x+6)inverse

\frac{x - 6}{x + 6}

inverse of f(x)=log_{2}(2x)inverse

f (x) = lo g_{2} (2 x)

inverse of f(x)=3(5x+14)inverse

f (x) = 3 (5 x + 14)

extreme cos(x)extreme points

cos (x)

Frequently Asked Questions (FAQ)

What is the range of x^2-12 ?
The range of x^2-12 is f(x)>=-12