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Popular >

range of f(x)=2x-x^2+3

Solution

range

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

Solution

f (x) \leq 4

+1

Interval Notation

(- \infty, 4]

Solution steps

Vertex of

2 x - x^{2} + 3 :

Maximum

(1, 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}) = (1, 4)

f (x) \leq 4

Popular Examples

slope ofintercept 5x-y=-36 slope intercept

5 x - y = - 36

inverse of f(x)=(x-2)/(x+1)inverse

f (x) = \frac{x - 2}{x + 1}

intercepts of x/(x^2-25)intercepts

\frac{x}{x ^{2} - 25}

domain of f(x)=((x-7)(x+6))/((x+6)(x-8))domain

f (x) = \frac{( x - 7 ) ( x + 6 )}{( x + 6 ) ( x - 8 )}

range of 2x^2+4x-3 range

2 x^{2} + 4 x - 3

Frequently Asked Questions (FAQ)

What is the range of f(x)=2x-x^2+3 ?
The range of f(x)=2x-x^2+3 is f(x)<= 4