Unit Test — Unit test

Question 1

How does the graph of y = sec(x + 3) – 7 compare with the graph of y = sec(x)?

Revolt · Accepted Answer

It is the graph of y = sec(x) shifted 3 units left and 7 units down.

Question 2

The function g(x) represents f(x) = after translating units left and 4 units up.Which equation represents g(x)?

Revolt · Accepted Answer

g (x) = 9 cosine (x minus StartFraction pi Over 3 EndFraction) + 7

Question 3

A particle travels in a circle around a fixed point at 16 revolutions per minute. The linear velocity of the particle is 240π inches per minute.What is the distance, in inches, between the particle and the fixed point?

Revolt · Accepted Answer

7.5

Question 4

Which functions are symmetric with respect to the origin?

Revolt · Accepted Answer

y = arcsinx and y = arctanx

Question 5

Let a function y represent the water level in a harbor measured in meters, and let x represent the number of hours since high tide. At time x = 0, the water level is 19.5 meters (a maximum). At time x = 6.26 hours, the water level is 10.5 meters (a minimum). The period of the function is 12.5 hours.After how many hours is the water expected to reach a depth of 17 meters for the first time? Round to the nearest tenth of an hour.

Revolt · Accepted Answer

2.2 hours

Question 6

Which of the following is the graph of ?

Revolt · Accepted Answer

On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 5 to 1 with an interval of 1 unit. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals negative 3 by 2 at (3 pi by 2, comma negative 3 by 2 ) and (negative pi by 2 by negative 3 by 2) and y equals negative 5 by 2 at ( pi by 2 comma negative 5 by 2) and (negative 3 pi by 2 comma negative 5 by 2).

Unit Test — Unit test Answers

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