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Popular >

range of f(x)=2x^2+2

Solution

range

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

Solution

f (x) \geq 2

+1

Interval Notation

[2, \infty)

Solution steps

Vertex of

2 x^{2} + 2 :

Minimum

(0, 2)

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, 2)

f (x) \geq 2

Popular Examples

critical f(x)=x^2-2ln(x)critical points

f (x) = x^{2} - 2 ln (x)

intercepts of x^2-6x+10 intercepts

x^{2} - 6 x + 10

domain of x^3+7x^2+8x-16 domain

x^{3} + 7 x^{2} + 8 x - 16

asymptotes of f(x)= 4/(x-2)asymptotes

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

periodicity of f(x)=cos^2(2pix)periodicity

f (x) = cos^{2} (2 π x)

Frequently Asked Questions (FAQ)

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