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Popular >

range of f(x)=3(x-6)^2

Solution

range

f (x) = 3 (x - 6)^{2}

Solution

f (x) \geq 0

+1

Interval Notation

[0, \infty)

Solution steps

Vertex of

3 (x - 6)^{2} :

Minimum

(6, 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}) = (6, 0)

f (x) \geq 0

Popular Examples

range of f(x)=(x^2+6)/(x+3)range

f (x) = \frac{x ^{2} + 6}{x + 3}

domain of f(x)=x^2+5x+1 domain

f (x) = x^{2} + 5 x + 1

inverse of (2x+1)/(x^2-1)inverse

\frac{2 x + 1}{x ^{2} - 1}

inverse of f(x)=3x^4 inverse

f (x) = 3 x^{4}

amplitude of-3sin(2pix+2)amplitude

- 3 sin (2 π x + 2)

Frequently Asked Questions (FAQ)

What is the range of f(x)=3(x-6)^2 ?
The range of f(x)=3(x-6)^2 is f(x)>= 0