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Popular >

range of f(x)=1-2x-x^2

Solution

range

f (x) = 1 - 2 x - x^{2}

Solution

f (x) \leq 2

+1

Interval Notation

(- \infty, 2]

Solution steps

Vertex of

1 - 2 x - x^{2} :

Maximum

(- 1, 2)

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, 2)

f (x) \leq 2

Popular Examples

domain of \sqrt[3]{x-2}domain

domain of f(x)=3sqrt(x)domain

f (x) = 3 x

inverse of 3cos(x)inverse

3 cos (x)

distance (1.5,-3),(1.5,-6)distance

(1.5, - 3), (1.5, - 6)

extreme f(x)=3x^3-36x-3 extreme points

f (x) = 3 x^{3} - 36 x - 3

Frequently Asked Questions (FAQ)

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