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Popular Functions >

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}

Graph

Popular Examples

slope ofintercept 3y+6x=6

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

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

inverse of f(x)= 2/(x-6)

inverse of f(x)= 1/4 (x-2)^2

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