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Popular Functions >

range of f(x)=-x^2+6x-5

Solution

range

f (x) = - x^{2} + 6 x - 5

Solution

f (x) \leq 4

+1

Interval Notation

(- \infty, 4]

Solution steps

Vertex of

- x^{2} + 6 x - 5 :

Maximum

(3, 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}) = (3, 4)

f (x) \leq 4

Graph

Popular Examples

inverse of f(x)=(19-t)^{1/2}

in v erse f (x) = (19 - t)^{\frac{1}{2}}

inverse of x^2-14

in v erse x^{2} - 14

inverse of 3e^x

in v erse 3 e^{x}

domain of f(x)=sqrt((x-2)/(3x^2+8x+4))

d o main f (x) = \frac{x - 2}{3 x ^{2} + 8 x + 4}

domain of f(x)=-3x+4

d o main f (x) = - 3 x + 4

Frequently Asked Questions (FAQ)

What is the range of f(x)=-x^2+6x-5 ?
The range of f(x)=-x^2+6x-5 is f(x)<= 4