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Popular >

range of X^2+4

Solution

range

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

parity x^2-1 parity

x^{2} - 1

distance (0,-3),(3,1)distance

(0, - 3), (3, 1)

domain of x^2-6,x<= 0 domain

x^{2} - 6, x \leq 0

inverse of y=11^x inverse

y = 1 1^{x}

extreme f(x)=x^4-32x^2 extreme points

f (x) = x^{4} - 32 x^{2}

Frequently Asked Questions (FAQ)

What is the range of X^2+4 ?
The range of X^2+4 is f(X)>= 4