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Popular >

range of x^2+5

Solution

range

x^{2} + 5

Solution

f (x) \geq 5

+1

Interval Notation

[5, \infty)

Solution steps

Vertex of

x^{2} + 5 :

Minimum

(0, 5)

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, 5)

f (x) \geq 5

Popular Examples

asymptotes of f(x)=(18-3x-x^2)/(x^2-9)asymptotes

f (x) = \frac{18 - 3 x - x ^{2}}{x ^{2} - 9}

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

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

inverse of (x+3)/(x-3)inverse

\frac{x + 3}{x - 3}

inverse of f(x)=1+sqrt(x-2)inverse

f (x) = 1 + x - 2

inverse of x/(2x+5)inverse

\frac{x}{2 x + 5}

Frequently Asked Questions (FAQ)

What is the range of x^2+5 ?
The range of x^2+5 is f(x)>= 5