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Popular >

range of (x^2+6)/2

Solution

range

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

Solution

f (x) \geq 3

+1

Interval Notation

[3, \infty)

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

Popular Examples

domain of (x^2-4x-32)/(x-8)domain

\frac{x ^{2} - 4 x - 32}{x - 8}

domain of y=xsqrt(36-x^2)domain

y = x 36 - x^{2}

intercepts of f(x)=x^5-5x^3+4x intercepts

f (x) = x^{5} - 5 x^{3} + 4 x

domain of f(x)=x^3-x^2+1 domain

f (x) = x^{3} - x^{2} + 1

domain of 3/(x-1)domain

\frac{3}{x - 1}

Frequently Asked Questions (FAQ)

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