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Popular >

range of g(x)=x^2-4

Solution

range

g (x) = 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

perpendicular y=8x-9 perpendicular

y = 8 x - 9

domain of s^3 domain

s^{3}

range of 8/x range

\frac{8}{x}

parity f(x)=2^x+2 parity

f (x) = 2^{x} + 2

intercepts of f(x)=(x-5)/(x+1)intercepts

f (x) = \frac{x - 5}{x + 1}

Frequently Asked Questions (FAQ)

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