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Popular >

range of 2x^2+4

Solution

range

2 x^{2} + 4

Solution

f (x) \geq 4

+1

Interval Notation

[4, \infty)

Solution steps

Vertex of

2 x^{2} + 4 :

Minimum

(0, 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 = 2,

Vertex

(x_{v}, y_{v}) = (0, 4)

f (x) \geq 4

Popular Examples

parity f(x)=-3 parity

f (x) = - 3

inverse of log_{1/5}(x)inverse

lo g_{\frac{1}{5}} (x)

inverse of (8x-1)/(2x+5)inverse

\frac{8 x - 1}{2 x + 5}

range of 6 range

6

domain of f(x)=sqrt(5x-15)domain

f (x) = 5 x - 15

Frequently Asked Questions (FAQ)

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