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Popular >

range of f(x)=-2x^2+12x-2

Solution

range

f (x) = - 2 x^{2} + 12 x - 2

Solution

f (x) \leq 16

+1

Interval Notation

(- \infty, 16]

Solution steps

Vertex of

- 2 x^{2} + 12 x - 2 :

Maximum

(3, 16)

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}) = (3, 16)

f (x) \leq 16

Popular Examples

inverse of-2+sqrt(4x+1)inverse

- 2 + 4 x + 1

inverse of y=(x^2+2x+1)/(x+3)inverse

y = \frac{x ^{2} + 2 x + 1}{x + 3}

inverse of f(x)=0.2x inverse

f (x) = 0.2 x

midpoint (-4,0),(6,-7)midpoint

(- 4, 0), (6, - 7)

intercepts of f(x)=x^2-7x+6 intercepts

f (x) = x^{2} - 7 x + 6

Frequently Asked Questions (FAQ)

What is the range of f(x)=-2x^2+12x-2 ?
The range of f(x)=-2x^2+12x-2 is f(x)<= 16