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Popular Functions >

range of f(x)=4x-x^2+5

Solution

range

f (x) = 4 x - x^{2} + 5

Solution

f (x) \leq 9

+1

Interval Notation

(- \infty, 9]

Solution steps

Vertex of

4 x - x^{2} + 5 :

Maximum

(2, 9)

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, 9)

f (x) \leq 9

Graph

Popular Examples

amplitude of-6sin(x)

asymptotes of (3x-15)/(-x^2+25)

domain of 2^{x-4}

inverse of f(5)=x+12

asymptotes of f(x)= 4/(-5x+9)

Frequently Asked Questions (FAQ)

What is the range of f(x)=4x-x^2+5 ?
The range of f(x)=4x-x^2+5 is f(x)<= 9