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Popular >

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

Solution

range

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

Solution

f (x) \leq - \frac{5}{2}

+1

Interval Notation

(- \infty, - \frac{5}{2}]

Solution steps

Vertex of

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

Maximum

(\frac{1}{2}, - \frac{5}{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{5}{2})

f (x) \leq - \frac{5}{2}

Popular Examples

domain of 3/2+(31)/(2(2x-7))domain

\frac{3}{2} + \frac{31}{2 ( 2 x - 7 )}

simplify (23.2)(30.5)simplify

(23.2) (30.5)

range of x^2-4x+3 range

x^{2} - 4 x + 3

parity f(x)=x^2+2 parity

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

domain of ln(x)+6 domain

ln (x) + 6

Frequently Asked Questions (FAQ)

What is the range of-2x^2+2x-3 ?
The range of-2x^2+2x-3 is f(x)<=-5/2