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Popular >

range of y=x^2+4

Solution

range

y = 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

asymptotes of f(x)=(x^3+6x^2+9x)/(x+3)asymptotes

f (x) = \frac{x ^{3} + 6 x ^{2} + 9 x}{x + 3}

monotone f(x)=-0.75x^4+15x^3 monotone intervals

f (x) = - 0.75 x^{4} + 15 x^{3}

asymptotes of f(x)=(x^2-1)/(x^2+x-6)asymptotes

f (x) = \frac{x ^{2} - 1}{x ^{2} + x - 6}

domain of f(x)=arcsin(e^{x^2+x-2})domain

f (x) = arcsin (e^{x^{2} + x - 2})

inflection (x^3)/3-x^2-3x inflection points

\frac{x ^{3}}{3} - x^{2} - 3 x

Frequently Asked Questions (FAQ)

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