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Popular >

range of f(x)=2x^2-6x+5

Solution

range

f (x) = 2 x^{2} - 6 x + 5

Solution

f (x) \geq \frac{1}{2}

+1

Interval Notation

[\frac{1}{2}, \infty)

Solution steps

Vertex of

2 x^{2} - 6 x + 5 :

Minimum

(\frac{3}{2}, \frac{1}{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{1}{2})

f (x) \geq \frac{1}{2}

Popular Examples

periodicity of f(x)=6sin((4pi)/3 x)+1 periodicity

f (x) = 6 sin (\frac{4 π}{3} x) + 1

inverse of h(x)=2x^3+3 inverse

h (x) = 2 x^{3} + 3

domain of f(x)=(x+8)^2 domain

f (x) = (x + 8)^{2}

domain of f(x)=log_{5}(x+3)domain

f (x) = lo g_{5} (x + 3)

slope of 3x-5y=8 slope

3 x - 5 y = 8

Frequently Asked Questions (FAQ)

What is the range of f(x)=2x^2-6x+5 ?
The range of f(x)=2x^2-6x+5 is f(x)>= 1/2