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Popular Functions >

range of (3-2x)(6-x)

Solution

range

(3 - 2 x) (6 - x)

Solution

f (x) \geq - \frac{81}{8}

+1

Interval Notation

[- \frac{81}{8}, \infty)

Solution steps

Vertex of

(3 - 2 x) (6 - x) :

Minimum

(\frac{15}{4}, - \frac{81}{8})

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}) = (\frac{15}{4}, - \frac{81}{8})

f (x) \geq - \frac{81}{8}

Graph

Popular Examples

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inverse of y=(e^x)/(1+6e^x)

inverse of f(x)=sqrt((x-5))

asymptotes of f(x)=log_{3}(x-1)+2

midpoint (a,2b),(2a,b-2)

Frequently Asked Questions (FAQ)

What is the range of (3-2x)(6-x) ?
The range of (3-2x)(6-x) is f(x)>=-81/8