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Chapter 6: Q. 35 (page 419)

Use the graph of the function to determine the domain and the range of function

y=sec(2π3x)+2

Short Answer

Expert verified

graph of the function is

domain is {x|x≠±3k4}

range is(-∞,1}∪{3,∞)

Step by step solution

01

Step 1. The given information is

a functiony=sec(2π3x)+2

02

Step 2. Making the parent graph we get,

03

Step 3. The graph of the given equation after stretching we get is,

04

Step 4. Domain and range

The graph of function state that the

The domain of the function is

the domain is {x|x≠±3k4}, where k is is an odd integer

and the range is(-∞,1}∪{3,∞)

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Most popular questions from this chapter

Designing a Little League Field For a 60-foot Little League Baseball field, the distance from home base to the nearest fence (or other obstruction) in fair territory should

be a minimum of 200 feet. The commissioner of parks and recreation is making plans for a new 60-foot field. Because of limited ground availability, he will use the minimum required distance to the outfield fence. To increase safety, however, he plans to include a 10-foot wide warning track on the inside of the fence. To further increase safety, the fence and warning track will extend both directions into foul territory. In total, the arc formed by the outfield fence (including the extensions into the foul territories) will be subtended by a central angle at home plate measuring 96°, as illustrated.

(a) Determine the length of the outfield fence.

(b) Determine the area of the warning track.

The range of the sine function is _____.

Convert each angle in degree to radians. express your answer as a multiple of π.

-225°

The equation x2+2x=x+12-1is an identity.

graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.

y=3cot12x-2
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