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Popular Functions >

y=4x-x^2+1

Solution

y = 4 x - x^{2} + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 5

X Intercepts : (2 - 5, 0), (2 + 5, 0), Y Intercepts : (0, 1)

Vertex : Maximum (2, 5)

Inverse : 2 - - x + 5, - x + 5 + 2

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 5]

Solution steps

Domain of

4 x - x^{2} + 1 : - \infty < x < \infty

Range of

4 x - x^{2} + 1 : f (x) \leq 5

Axis interception points of

4 x - x^{2} + 1 :

X Intercepts

: (2 - 5, 0), (2 + 5, 0),

Y Intercepts

: (0, 1)

Vertex of

4 x - x^{2} + 1 :

Maximum

(2, 5)

Inverse of

4 x - x^{2} + 1 : 2 - - x + 5, - x + 5 + 2

Graph

Popular Examples

f(x)=-1+5.5x-4x^2+0.5x^3

domain of f(x)= 1/(x^2+2)+x^3cos(x)

periodicity of f(x)=cos((4x)/3)

Frequently Asked Questions (FAQ)

What is the y=4x-x^2+1 ?
The y=4x-x^2+1 is