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Popular >

range of x^2+4x

Solution

range

x^{2} + 4 x

Solution

f (x) \geq - 4

+1

Interval Notation

[- 4, \infty)

Solution steps

Vertex of

x^{2} + 4 x :

Minimum

(- 2, - 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 = 1,

Vertex

(x_{v}, y_{v}) = (- 2, - 4)

f (x) \geq - 4

Popular Examples

inverse of f(x)=8x+13 inverse

f (x) = 8 x + 13

line (-1,5),(1,4)line

(- 1, 5), (1, 4)

inverse of f(x)=2x-0.5x^2-1 inverse

f (x) = 2 x - 0.5 x^{2} - 1

domain of f(x)=7x^3-2 domain

f (x) = 7 x^{3} - 2

inverse of 1-2log_{4}(x-4)inverse

1 - 2 lo g_{4} (x - 4)

Frequently Asked Questions (FAQ)

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