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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

inverse of f(x)=20-2x inverse

f (x) = 20 - 2 x

domain of f(x)=(sqrt(1-x^2))/x domain

f (x) = \frac{1 - x ^{2}}{x}

domain of-2x^3+36x^2 domain

- 2 x^{3} + 36 x^{2}

domain of f(x)= 1/(\sqrt[4]{x^2-7x)}domain

intercepts of f(x)=-4x intercepts

f (x) = - 4 x

Frequently Asked Questions (FAQ)

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