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Popular >

range of f(x)=2x^2-6x+11

Solution

range

f (x) = 2 x^{2} - 6 x + 11

Solution

f (x) \geq \frac{13}{2}

+1

Interval Notation

Solution steps

Vertex of

2 x^{2} - 6 x + 11 :

Minimum

(\frac{3}{2}, \frac{13}{2})

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 = 2,

Vertex

(x_{v}, y_{v}) = (\frac{3}{2}, \frac{13}{2})

f (x) \geq \frac{13}{2}

Graph

Popular Examples

domain of f(x)=ln(x-3)domain

f (x) = ln (x - 3)

intercepts of f(x)=4x^2-16x+13 intercepts

f (x) = 4 x^{2} - 16 x + 13

inverse of f(x)= 4/3 x-8/3 inverse

f (x) = \frac{4}{3} x - \frac{8}{3}

perpendicular-1 perpendicular

- 1

domain of y=5x+2 domain

y = 5 x + 2

Frequently Asked Questions (FAQ)

What is the range of f(x)=2x^2-6x+11 ?
The range of f(x)=2x^2-6x+11 is f(x)>= 13/2