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Popular Functions >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 4

X Intercepts : (0, 0), (4, 0), Y Intercepts : (0, 0)

Vertex : Maximum (2, 4)

Inverse : 2 - - x + 4, - x + 4 + 2

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 4]

Solution steps

Domain of

- x^{2} + 4 x : - \infty < x < \infty

Range of

- x^{2} + 4 x : f (x) \leq 4

Axis interception points of

- x^{2} + 4 x :

X Intercepts

: (0, 0), (4, 0),

Y Intercepts

: (0, 0)

Vertex of

- x^{2} + 4 x :

Maximum

(2, 4)

Inverse of

- x^{2} + 4 x : 2 - - x + 4, - x + 4 + 2

Graph

Popular Examples

extreme F(x)=-9/(x^2+3)

inflection f(x)=-x^7+7x^6

slope of y+2=-2(x-3)

asymptotes of f(x)=(3x^2+1)/(x^2-2x-3)

inverse of y=x^2-1,x<= 0

Frequently Asked Questions (FAQ)

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