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Popular >

range of x^2-3

Solution

range

x^{2} - 3

Solution

f (x) \geq - 3

+1

Interval Notation

[- 3, \infty)

Solution steps

Vertex of

x^{2} - 3 :

Minimum

(0, - 3)

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, - 3)

f (x) \geq - 3

Popular Examples

inverse of g(x)=5x+10/3 inverse

g (x) = 5 x + \frac{10}{3}

domain of 1/(10(sqrt(2x+12))-20)domain

\frac{1}{10 ( 2 x + 12 ) - 20}

domain of f(x)=-5^x domain

f (x) = - 5^{x}

domain of (4x-1)/(2x+3)domain

\frac{4 x - 1}{2 x + 3}

intercepts of f(x)=x^2-3x-28 intercepts

f (x) = x^{2} - 3 x - 28

Frequently Asked Questions (FAQ)

What is the range of x^2-3 ?
The range of x^2-3 is f(x)>=-3