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Popular >

range of f(x)=3x^2

Solution

range

f (x) = 3 x^{2}

Solution

f (x) \geq 0

+1

Interval Notation

[0, \infty)

Solution steps

Vertex of

3 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 = 3,

Vertex

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

f (x) \geq 0

Popular Examples

inverse of 16-8x+x^2 inverse

16 - 8 x + x^{2}

range of x^2+6 range

x^{2} + 6

asymptotes of (x(x-5))/(x^2-9)asymptotes

\frac{x ( x - 5 )}{x ^{2} - 9}

inverse of f(x)=(2x+5)/7 inverse

f (x) = \frac{2 x + 5}{7}

range of f(x)= x/((x-1)(x-2))range

f (x) = \frac{x}{( x - 1 ) ( x - 2 )}

Frequently Asked Questions (FAQ)

What is the range of f(x)=3x^2 ?
The range of f(x)=3x^2 is f(x)>= 0