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Popular >

range of 2x^2+4x-9

Solution

range

2 x^{2} + 4 x - 9

Solution

f (x) \geq - 11

+1

Interval Notation

[- 11, \infty)

Solution steps

Vertex of

2 x^{2} + 4 x - 9 :

Minimum

(- 1, - 11)

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}) = (- 1, - 11)

f (x) \geq - 11

Popular Examples

inflection 5x^4-x^5 inflection points

5 x^{4} - x^{5}

asymptotes of f(x)=-3^x asymptotes

f (x) = - 3^{x}

domain of f(x)=15-x^2 domain

f (x) = 15 - x^{2}

perpendicular 3/2 x-3 perpendicular

\frac{3}{2} x - 3

inverse of f(x)=(6-3x)^{5/2}inverse

f (x) = (6 - 3 x)^{\frac{5}{2}}

Frequently Asked Questions (FAQ)

What is the range of 2x^2+4x-9 ?
The range of 2x^2+4x-9 is f(x)>=-11