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Popular >

range of f(x)=-2x^2+16x-29

Solution

range

f (x) = - 2 x^{2} + 16 x - 29

Solution

f (x) \leq 3

+1

Interval Notation

(- \infty, 3]

Solution steps

Vertex of

- 2 x^{2} + 16 x - 29 :

Maximum

(4, 3)

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}) = (4, 3)

f (x) \leq 3

Popular Examples

domain of sqrt(36-x^2)+sqrt(x+1)domain

36 - x^{2} + x + 1

range of x^2-10x+16 range

x^{2} - 10 x + 16

parallel y=-1/4 x+5 parallel

y = - \frac{1}{4} x + 5

inverse of 9x-5 inverse

9 x - 5

domain of f(x)=(x^2-x-2)/(x-2)domain

f (x) = \frac{x ^{2} - x - 2}{x - 2}

Frequently Asked Questions (FAQ)

What is the range of f(x)=-2x^2+16x-29 ?
The range of f(x)=-2x^2+16x-29 is f(x)<= 3