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Popular >

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

Solution

range

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

Solution

f (x) \leq - \frac{5}{4}

+1

Interval Notation

(- \infty, - \frac{5}{4}]

Solution steps

Vertex of

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

Maximum

(\frac{1}{2}, - \frac{5}{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 = - 3,

Vertex

(x_{v}, y_{v}) = (\frac{1}{2}, - \frac{5}{4})

f (x) \leq - \frac{5}{4}

Popular Examples

slope ofintercept 3y+6x=6 slope intercept

3 y + 6 x = 6

range of f(x)=2-log_{3}(x+1)range

f (x) = 2 - lo g_{3} (x + 1)

domain of sqrt(x)-x domain

x - x

inverse of f(x)= x/2+8 inverse

f (x) = \frac{x}{2} + 8

domain of f(x)=sqrt(x^2-7)domain

f (x) = x^{2} - 7

Frequently Asked Questions (FAQ)

What is the range of-3x^2+3x-2 ?
The range of-3x^2+3x-2 is f(x)<=-5/4