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Popular >

range of f(x)=x^2-12

Solution

range

f (x) = 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

simplify (4.12)(-6.14)simplify

(4.12) (- 6.14)

slope ofintercept 15x-6y=6 slope intercept

15 x - 6 y = 6

domain of x^3-6x+4 domain

x^{3} - 6 x + 4

intercepts of f(x)=x^3-5x^2-24x intercepts

f (x) = x^{3} - 5 x^{2} - 24 x

domain of f(x)=(sqrt(x-6))/(sqrt(x-4))domain

f (x) = \frac{x - 6}{x - 4}

Frequently Asked Questions (FAQ)

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