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Popular >

range of 2x^2+4x-10

Solution

range

2 x^{2} + 4 x - 10

Solution

f (x) \geq - 12

+1

Interval Notation

[- 12, \infty)

Solution steps

Vertex of

2 x^{2} + 4 x - 10 :

Minimum

(- 1, - 12)

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, - 12)

f (x) \geq - 12

Popular Examples

domain of f(x)=(sqrt(2+x))/(5-x)domain

f (x) = \frac{2 + x}{5 - x}

range of y=-3sin(x)range

y = - 3 sin (x)

line (-7,0),(0,-2)line

(- 7, 0), (0, - 2)

domain of-8x^4+5x^2-x+7 domain

- 8 x^{4} + 5 x^{2} - x + 7

range of f(x)=sqrt((2x-4)/3)range

f (x) = \frac{2 x - 4}{3}

Frequently Asked Questions (FAQ)

What is the range of 2x^2+4x-10 ?
The range of 2x^2+4x-10 is f(x)>=-12