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Popular >

range of f(x)=x^2-6

Solution

range

f (x) = x^{2} - 6

Solution

f (x) \geq - 6

+1

Interval Notation

[- 6, \infty)

Solution steps

Vertex of

x^{2} - 6 :

Minimum

(0, - 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}) = (0, - 6)

f (x) \geq - 6

Popular Examples

asymptotes of (4x+8)/(3x-2)asymptotes

\frac{4 x + 8}{3 x - 2}

domain of f(x)= 7/(\frac{x){x+7}}domain

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

asymptotes of f(x)= 7/(x^2-36)asymptotes

f (x) = \frac{7}{x ^{2} - 36}

symmetry y=-x^2+12x-38 symmetry

y = - x^{2} + 12 x - 38

range of g(x)= 2/(x^2-16)range

g (x) = \frac{2}{x ^{2} - 16}

Frequently Asked Questions (FAQ)

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