What is the range of 5sec(x) ?

The range of 5sec(x) is f(x) = 5

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range of 5sec(x)

range

5 sec (x)

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

Interval Notation

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

Solution steps

The range of the basic

sec

function is

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

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

Multiply the edges of the range by:

5

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

Therefore the range is

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

3 y = x - 6, (2, - 5)

(- 4, 1), (1, 7)

f (x) = \frac{1}{2} sec (\frac{π x}{2})

\frac{2 x ^{2} - 3 x - 20}{x - 5}

y = 0.25 x - 7, (- 6, 8)