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Popular Functions >

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

Solution

range

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

Solution

f (x) \leq 4

+1

Interval Notation

(- \infty, 4]

Solution steps

Vertex of

- x^{2} + 4 x :

Maximum

(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) \leq 4

Graph

Popular Examples

range of ln((-x+2)/(x+2))

critical f(x)=24x-2x^2

intercepts of f(x)=2x^2+x-15

shift 4-3sin(2/5 (x+1))

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