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Popular >

range of x^2-3x+2

Solution

range

x^{2} - 3 x + 2

Solution

f (x) \geq - \frac{1}{4}

+1

Interval Notation

[- \frac{1}{4}, \infty)

Solution steps

Vertex of

x^{2} - 3 x + 2 :

Minimum

(\frac{3}{2}, - \frac{1}{4})

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 = 1,

Vertex

(x_{v}, y_{v}) = (\frac{3}{2}, - \frac{1}{4})

f (x) \geq - \frac{1}{4}

Popular Examples

slope of y=-4x+8 slope

y = - 4 x + 8

domain of f(x)= 1/2 x-4 domain

f (x) = \frac{1}{2} x - 4

perpendicular y=4 perpendicular

y = 4

periodicity of y=3sin(x-pi/2)periodicity

y = 3 sin (x - \frac{π}{2})

intercepts of f(x)=-3x-9 intercepts

f (x) = - 3 x - 9

Frequently Asked Questions (FAQ)

What is the range of x^2-3x+2 ?
The range of x^2-3x+2 is f(x)>=-1/4