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

The range of csc(pi/3 x+pi) is f(x) = 1

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range of csc(pi/3 x+pi)

range

csc (\frac{π}{3} x + π)

f (x) \leq - 1 or f (x) \geq 1

Interval Notation

(- \infty, - 1] \cup [1, \infty)

Solution steps

The range of the basic

csc

function is

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

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

Therefore the range is

f (x) \leq - 1 or f (x) \geq 1

y = lo g_{3} (x)

f (x) = x^{4}

f (x) = - x^{3} + 3 x^{2} + 24 x + 3

f (x) = \frac{- 5 x ^{2}}{( x - 4 ) ( x + 3 )}

\frac{2 x - 3}{4}

What is the range of csc(pi/3 x+pi) ?
The range of csc(pi/3 x+pi) is f(x)<=-1\lor f(x)>= 1