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Popular >

range of y=x^2-3

Solution

range

y = 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 x+4 inverse

x + 4

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

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

parity (sqrt(x^2+4)+x)/2 parity

\frac{x ^{2} + 4 + x}{2}

inverse of f(x)=(2-x)/(x-3)inverse

f (x) = \frac{2 - x}{x - 3}

inflection f(x)=xe^{1/x}inflection points

f (x) = x e^{\frac{1}{x}}

Frequently Asked Questions (FAQ)

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