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Popular >

range of-0.5x^2-3

Solution

range

- 0.5 x^{2} - 3

Solution

f (x) \leq - 3

+1

Interval Notation

(- \infty, - 3]

Solution steps

Vertex of

- 0.5 x^{2} - 3 :

Maximum

(0, - 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 = - 0.5,

Vertex

(x_{v}, y_{v}) = (0, - 3)

f (x) \leq - 3

Popular Examples

domain of f(x)=sqrt(x)-sqrt(x-2)domain

f (x) = x - x - 2

slope ofintercept y-11=0 slope intercept

y - 11 = 0

inverse of f(x)=((x+2))/((x+5))inverse

f (x) = \frac{( x + 2 )}{( x + 5 )}

inverse of y= 1/x inverse

y = \frac{1}{x}

extreme f(x)=(1+x^2)/(1-x^2)extreme points

f (x) = \frac{1 + x ^{2}}{1 - x ^{2}}

Frequently Asked Questions (FAQ)

What is the range of-0.5x^2-3 ?
The range of-0.5x^2-3 is f(x)<=-3