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Popular >

range of-2x^2+5x-6

Solution

range

- 2 x^{2} + 5 x - 6

Solution

f (x) \leq - \frac{23}{8}

+1

Interval Notation

(- \infty, - \frac{23}{8}]

Solution steps

Vertex of

- 2 x^{2} + 5 x - 6 :

Maximum

(\frac{5}{4}, - \frac{23}{8})

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{5}{4}, - \frac{23}{8})

f (x) \leq - \frac{23}{8}

Popular Examples

inverse of f(x)= 9/(x^2)inverse

f (x) = \frac{9}{x ^{2}}

inflection f(x)=x^4+4x^3+7 inflection points

f (x) = x^{4} + 4 x^{3} + 7

inverse of 8x inverse

8 x

extreme f(x)=2+5x-x^2 extreme points

f (x) = 2 + 5 x - x^{2}

domain of y=sqrt(x^2-1)domain

y = x^{2} - 1

Frequently Asked Questions (FAQ)

What is the range of-2x^2+5x-6 ?
The range of-2x^2+5x-6 is f(x)<=-23/8