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Popular >

range of x^2+4x+7

Solution

range

x^{2} + 4 x + 7

Solution

f (x) \geq 3

+1

Interval Notation

[3, \infty)

Solution steps

Vertex of

x^{2} + 4 x + 7 :

Minimum

(- 2, 3)

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, 3)

f (x) \geq 3

Popular Examples

periodicity of 3cot(2pix)periodicity

3 cot (2 π x)

inflection 2x^3-9x^2-24x+30 inflection points

2 x^{3} - 9 x^{2} - 24 x + 30

inverse of f(x)=sqrt(2-x/(x-2))inverse

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

domain of 8x^2 domain

8 x^{2}

parity f(x)=x^2+10 parity

f (x) = x^{2} + 10

Frequently Asked Questions (FAQ)

What is the range of x^2+4x+7 ?
The range of x^2+4x+7 is f(x)>= 3