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Popular >

range of 7x^2+14x

Solution

range

7 x^{2} + 14 x

Solution

f (x) \geq - 7

+1

Interval Notation

[- 7, \infty)

Solution steps

Vertex of

7 x^{2} + 14 x :

Minimum

(- 1, - 7)

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 = 7,

Vertex

(x_{v}, y_{v}) = (- 1, - 7)

f (x) \geq - 7

Popular Examples

inverse of 2x^2 inverse

2 x^{2}

asymptotes of f(x)=(x^2-2x-8)/(x^2-9)asymptotes

f (x) = \frac{x ^{2} - 2 x - 8}{x ^{2} - 9}

domain of f(x)= x/(x-2)domain

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

extreme f(x)=x^2-6x+7 extreme points

f (x) = x^{2} - 6 x + 7

inverse of f(x)=-3x^2+2 inverse

f (x) = - 3 x^{2} + 2

Frequently Asked Questions (FAQ)

What is the range of 7x^2+14x ?
The range of 7x^2+14x is f(x)>=-7