What is the range of-8csc(pi/3 x) ?

The range of-8csc(pi/3 x) is f(x) = 8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of-8csc(pi/3 x)

range

- 8 csc (\frac{π}{3} x)

f (x) \leq - 8 or f (x) \geq 8

Interval Notation

(- \infty, - 8] \cup [8, \infty)

Solution steps

The range of the basic

csc

function is

csc (\frac{π}{3} x) \leq - 1 or csc (\frac{π}{3} x) \geq 1

csc (\frac{π}{3} x) \leq - 1 or csc (\frac{π}{3} x) \geq 1

Multiply the edges of the range by:

- 8

- 8 csc (\frac{π}{3} x) \leq - 8 or - 8 csc (\frac{π}{3} x) \geq 8

Therefore the range is

f (x) \leq - 8 or f (x) \geq 8

f (x) = \frac{- 6}{x + 3}

\frac{5}{x - 4} + 2

f (x) = 0.9 (x - 7) - 8

8 x + 2 y = 8

y - 3 = 2 (x + 1)

What is the range of-8csc(pi/3 x) ?
The range of-8csc(pi/3 x) is f(x)<=-8\lor f(x)>= 8