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Popular >

range of-x^2+4x

Solution

range

- 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

Popular Examples

inverse of (4x^2-1)/(2x-1)inverse

\frac{4 x ^{2} - 1}{2 x - 1}

critical f(x)=6x^3+x^2+6x critical points

f (x) = 6 x^{3} + x^{2} + 6 x

inverse of f(x)=3log_{2}(x+5)+7 inverse

f (x) = 3 lo g_{2} (x + 5) + 7

parity f(x)=5x^3-2x+1 parity

f (x) = 5 x^{3} - 2 x + 1

intercepts of f(x)=x^2-3x-4 intercepts

f (x) = x^{2} - 3 x - 4

Frequently Asked Questions (FAQ)

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