What is the range of-4sec(x+pi/3) ?

The range of-4sec(x+pi/3) is f(x) = 4

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range of-4sec(x+pi/3)

range

- 4 sec (x + \frac{π}{3})

f (x) \leq - 4 or f (x) \geq 4

Interval Notation

(- \infty, - 4] \cup [4, \infty)

Solution steps

The range of the basic

sec

function is

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

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

Multiply the edges of the range by:

- 4

- 4 sec (x + \frac{π}{3}) \leq - 4 or - 4 sec (x + \frac{π}{3}) \geq 4

Therefore the range is

f (x) \leq - 4 or f (x) \geq 4

What is the range of-4sec(x+pi/3) ?
The range of-4sec(x+pi/3) is f(x)<=-4\lor f(x)>= 4