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Popular >

range of 2x^2

Solution

range

2 x^{2}

Solution

f (x) \geq 0

+1

Interval Notation

[0, \infty)

Solution steps

Vertex of

2 x^{2} :

Minimum

(0, 0)

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, 0)

f (x) \geq 0

Popular Examples

asymptotes of 1/(5-x)asymptotes

\frac{1}{5 - x}

distance (0,0),(-3,4)distance

(0, 0), (- 3, 4)

intercepts of y=-1/2 tan(2pix)intercepts

y = - \frac{1}{2} tan (2 π x)

slope of 10x+15y=-90 slope

10 x + 15 y = - 90

critical f(x)=(x-7)^{6/7}critical points

f (x) = (x - 7)^{\frac{6}{7}}

Frequently Asked Questions (FAQ)

What is the range of 2x^2 ?
The range of 2x^2 is f(x)>= 0