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Popular >

range of-1/2 x^2-5x-15/2

Solution

range

- \frac{1}{2} x^{2} - 5 x - \frac{15}{2}

Solution

f (x) \leq 5

+1

Interval Notation

(- \infty, 5]

Solution steps

Vertex of

- \frac{1}{2} x^{2} - 5 x - \frac{15}{2} :

Maximum

(- 5, 5)

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 = - \frac{1}{2},

Vertex

(x_{v}, y_{v}) = (- 5, 5)

f (x) \leq 5

Popular Examples

asymptotes of f(x)=2e^{3x+4}+5 asymptotes

f (x) = 2 e^{3 x + 4} + 5

slope ofintercept-3 slope intercept

- 3

domain of f(x)=(x+4)/(x+1)domain

f (x) = \frac{x + 4}{x + 1}

range of x^2-7x range

x^{2} - 7 x

distance (1,-6),(-1,-3)distance

(1, - 6), (- 1, - 3)

Frequently Asked Questions (FAQ)

What is the range of-1/2 x^2-5x-15/2 ?
The range of-1/2 x^2-5x-15/2 is f(x)<= 5