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Popular >

range of 4x^2

Solution

range

4 x^{2}

Solution

f (x) \geq 0

+1

Interval Notation

[0, \infty)

Solution steps

Vertex of

4 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 = 4,

Vertex

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

f (x) \geq 0

Popular Examples

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5 sin (2 x)

asymptotes of y=sec(x+1)asymptotes

y = sec (x + 1)

inverse of-2/5 x^3 inverse

- \frac{2}{5} x^{3}

distance (5sqrt(2),7sqrt(3)),(sqrt(2),-sqrt(3))distance

(52, 73), (2, - 3)

inverse of f(x)=\sqrt[5]{x+2}+2 inverse

Frequently Asked Questions (FAQ)

What is the range of 4x^2 ?
The range of 4x^2 is f(x)>= 0