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Popular >

range of-2x^2-2x-2

Solution

range

- 2 x^{2} - 2 x - 2

Solution

f (x) \leq - \frac{3}{2}

+1

Interval Notation

(- \infty, - \frac{3}{2}]

Solution steps

Vertex of

- 2 x^{2} - 2 x - 2 :

Maximum

(- \frac{1}{2}, - \frac{3}{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 = - 2,

Vertex

(x_{v}, y_{v}) = (- \frac{1}{2}, - \frac{3}{2})

f (x) \leq - \frac{3}{2}

Popular Examples

parity f(-1)=(tan(x+2))/((x+2)^2)parity

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

periodicity of f(x)=2sin(3x-pi)+4 periodicity

f (x) = 2 sin (3 x - π) + 4

midpoint (-1,-6),(3,0)midpoint

(- 1, - 6), (3, 0)

H=-0.65(x+20)+143

H = - 0.65 (x + 20) + 143

range of f(x)=3x+5 range

f (x) = 3 x + 5

Frequently Asked Questions (FAQ)

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