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Popular >

range of f(x)=x^2-3

Solution

range

f (x) = 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

domain of f(x)=log_{5}(sqrt(5x-6))domain

f (x) = lo g_{5} (5 x - 6)

slope ofintercept y=3x+5 slope intercept

y = 3 x + 5

midpoint (5,-5),(-3,-3)midpoint

(5, - 5), (- 3, - 3)

symmetry-4x^2+6x+1 symmetry

- 4 x^{2} + 6 x + 1

domain of f(x)=\sqrt[3]{x}-3 domain

Frequently Asked Questions (FAQ)

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