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Popular >

range of 0.5x^2-6x+21

Solution

range

0.5 x^{2} - 6 x + 21

Solution

f (x) \geq 3

+1

Interval Notation

[3, \infty)

Solution steps

Vertex of

0.5 x^{2} - 6 x + 21 :

Minimum

(6, 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 = 0.5,

Vertex

(x_{v}, y_{v}) = (6, 3)

f (x) \geq 3

Popular Examples

critical 1/(x^2+1)critical points

\frac{1}{x ^{2} + 1}

intercepts of f(x)=3x^2+6x-3 intercepts

f (x) = 3 x^{2} + 6 x - 3

intercepts of (3x-1)/(2x+5)intercepts

\frac{3 x - 1}{2 x + 5}

domain of (-4-5x)/(3x-1)domain

\frac{- 4 - 5 x}{3 x - 1}

inverse of f(x)=2-sqrt(2)sec(x)inverse

f (x) = 2 - 2 sec (x)

Frequently Asked Questions (FAQ)

What is the range of 0.5x^2-6x+21 ?
The range of 0.5x^2-6x+21 is f(x)>= 3