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Popular Functions >

range of-0.5(x+3)^2+4

Solution

range

- 0.5 (x + 3)^{2} + 4

Solution

f (x) \leq 4

+1

Interval Notation

(- \infty, 4]

Solution steps

Vertex of

- 0.5 (x + 3)^{2} + 4 :

Maximum

(- 3, 4)

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}) = (- 3, 4)

f (x) \leq 4

Graph

Popular Examples

asymptotes of f(x)=(x^2+2)/(x^2+4)

range of (6x)/(7x-1)

intercepts of f(x)=ln(((x+1))/(x^2-25))

slope of x-y/3 =4

Frequently Asked Questions (FAQ)

What is the range of-0.5(x+3)^2+4 ?
The range of-0.5(x+3)^2+4 is f(x)<= 4