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Popular Functions >

range of (x^2+6)/2

Solution

range

Solution

f (x) \geq 3

+1

Interval Notation

Solution steps

Vertex of

\frac{x ^{2} + 6}{2} :

Minimum

(0, 3)

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 = \frac{1}{2},

Vertex

(x_{v}, y_{v}) = (0, 3)

f (x) \geq 3

Graph

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Frequently Asked Questions (FAQ)

What is the range of (x^2+6)/2 ?
The range of (x^2+6)/2 is f(x)>= 3