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Popular >

range of f(x)=x^2-4x

Solution

range

f (x) = x^{2} - 4 x

Solution

f (x) \geq - 4

+1

Interval Notation

[- 4, \infty)

Solution steps

Vertex of

x^{2} - 4 x :

Minimum

(2, - 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}) = (2, - 4)

f (x) \geq - 4

Popular Examples

simplify (-3.6)(0.9)simplify

(- 3.6) (0.9)

inverse of f(x)=-3/4 x+6 inverse

f (x) = - \frac{3}{4} x + 6

inflection 1/(x-1)inflection points

\frac{1}{x - 1}

domain of sqrt(3-x^2)domain

3 - x^{2}

domain of f(x)=sqrt(4+x)domain

f (x) = 4 + x

Frequently Asked Questions (FAQ)

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