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Popular >

range of f(x)=x^2+5

Solution

range

f (x) = 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

domain of (sqrt(x-3))/(x-10)domain

\frac{x - 3}{x - 10}

inflection 3x^4-20x^3+24x^2 inflection points

3 x^{4} - 20 x^{3} + 24 x^{2}

asymptotes of f(x)=(-3x-9)/(x^2-x-12)asymptotes

f (x) = \frac{- 3 x - 9}{x ^{2} - x - 12}

inverse of y=(5)^x inverse

y = (5)^{x}

domain of sqrt(16-x)domain

16 - x

Frequently Asked Questions (FAQ)

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