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Popular Functions >

range of 2x(x-4)+7

Solution

range

2 x (x - 4) + 7

Solution

f (x) \geq - 1

+1

Interval Notation

[- 1, \infty)

Solution steps

Vertex of

2 x (x - 4) + 7 :

Minimum

(2, - 1)

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}) = (2, - 1)

f (x) \geq - 1

Graph

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Frequently Asked Questions (FAQ)

What is the range of 2x(x-4)+7 ?
The range of 2x(x-4)+7 is f(x)>=-1