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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

range of f(x)=\sqrt[3]{x}+2 range

intercepts of y=-x^3+27x-54 intercepts

y = - x^{3} + 27 x - 54

critical f(x)=xsqrt(4-x),x<3 critical points

f (x) = x 4 - x, x < 3

intercepts of f(x)=2(x+1)^2-3 intercepts

f (x) = 2 (x + 1)^{2} - 3

domain of (x+5)/(x^2-1)domain

\frac{x + 5}{x ^{2} - 1}

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