What is the range of-5csc(pix) ?

The range of-5csc(pix) is f(x) = 5

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range of-5csc(pix)

range

- 5 csc (π x)

f (x) \leq - 5 or f (x) \geq 5

Interval Notation

(- \infty, - 5] \cup [5, \infty)

Solution steps

The range of the basic

csc

function is

csc (π x) \leq - 1 or csc (π x) \geq 1

csc (π x) \leq - 1 or csc (π x) \geq 1

Multiply the edges of the range by:

- 5

- 5 csc (π x) \leq - 5 or - 5 csc (π x) \geq 5

Therefore the range is

f (x) \leq - 5 or f (x) \geq 5

sec (x)

f (x) = x e^{x}

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

\frac{x ^{2} + 4 x + 4}{x ^{3} + 5 x ^{2}}

f (x) = (11 - 5 x) e^{x}

What is the range of-5csc(pix) ?
The range of-5csc(pix) is f(x)<=-5\lor f(x)>= 5