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Popular >

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

Solution

range

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

Solution

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

+1

Interval Notation

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

Solution steps

Vertex of

x^{2} - 5 x + 6 :

Minimum

(\frac{5}{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{5}{2}, - \frac{1}{4})

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

Popular Examples

inverse of f(x)=7x^3+4 inverse

f (x) = 7 x^{3} + 4

domain of f(x)=0.25x+40 domain

f (x) = 0.25 x + 40

range of y=3-2sin(3x-pi)range

y = 3 - 2 sin (3 x - π)

inverse of f(x)=(4x+9)/(5x-6)inverse

f (x) = \frac{4 x + 9}{5 x - 6}

domain of f(x)=(x+4)/(sqrt(x^2-5x+6))domain

f (x) = \frac{x + 4}{x ^{2} - 5 x + 6}

Frequently Asked Questions (FAQ)

What is the range of f(x)=x^2-5x+6 ?
The range of f(x)=x^2-5x+6 is f(x)>=-1/4