Which of the following is the graph of the function y = 2.5sec(x – 5)?

!

Solution:

we are given with the function

The plot of the given function can be found by applying the shifting and stretching property to the graph of the parent function.

Here the parent function is

As we know,

So the parent function gets shifted to right by 5 units.

The required plot of the function and parent function is attached.

The correct option has also been attached.

c

step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: