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Popular >

range of-x^2+4x-3

Solution

range

- x^{2} + 4 x - 3

Solution

f (x) \leq 1

+1

Interval Notation

(- \infty, 1]

Solution steps

Vertex of

- x^{2} + 4 x - 3 :

Maximum

(2, 1)

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, 1)

f (x) \leq 1

Popular Examples

monotone f(x)=x^4+2x^3+x^2 monotone intervals

f (x) = x^{4} + 2 x^{3} + x^{2}

domain of 2/(\frac{x){x+2}}domain

\frac{2}{\frac{x}{x + 2}}

intercepts of f(x)=x^2+x-12 intercepts

f (x) = x^{2} + x - 12

y=-0.23x^2+1.87x+1.5

y = - 0.23 x^{2} + 1.87 x + 1.5

asymptotes of f(x)=xe^{-8x}asymptotes

f (x) = x e^{- 8 x}

Frequently Asked Questions (FAQ)

What is the range of-x^2+4x-3 ?
The range of-x^2+4x-3 is f(x)<= 1