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Popular >

range of f(x)=6x^2+9

Solution

range

f (x) = 6 x^{2} + 9

Solution

f (x) \geq 9

+1

Interval Notation

[9, \infty)

Solution steps

Vertex of

6 x^{2} + 9 :

Minimum

(0, 9)

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 = 6,

Vertex

(x_{v}, y_{v}) = (0, 9)

f (x) \geq 9

Popular Examples

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\frac{3 x ^{2} - 9 x + 12}{x ^{2} - 10 x + 25}

Frequently Asked Questions (FAQ)

What is the range of f(x)=6x^2+9 ?
The range of f(x)=6x^2+9 is f(x)>= 9