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Popular >

range of x^2-4

Solution

range

x^{2} - 4

Solution

f (x) \geq - 4

+1

Interval Notation

[- 4, \infty)

Solution steps

Vertex of

x^{2} - 4 :

Minimum

(0, - 4)

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, - 4)

f (x) \geq - 4

Popular Examples

symmetry y=x^2+10x+27 symmetry

y = x^{2} + 10 x + 27

intercepts of 3/x+5 intercepts

\frac{3}{x} + 5

perpendicular y=4x+6,(4,2)perpendicular

y = 4 x + 6, (4, 2)

domain of f(x)= 1/(2x)domain

f (x) = \frac{1}{2 x}

range of-sqrt(x+9)range

- x + 9

Frequently Asked Questions (FAQ)

What is the range of x^2-4 ?
The range of x^2-4 is f(x)>=-4