Which points are on the graph of y = tan x? Select all that apply. O A. O B. (0, IT) O C. O D. O E. (7,0)Which of the following statements are true about the graph of f (x) = sec x ? Select all that apply. O A. (0,1) is a point on the graph. O B. f (x) is defined for all x. O C. There is a vertical asymptote at x = O D. f (x) is undefined when sin x = 0. O E. All x-values are included in the domain.Which pair of functions have the same domain? O A. f (x) = cos x and g (x) = tan x O B. g(x ) = tan x and f (x) =sec x O C. f ( x) = sin x and f (x) = sec x O D. g (x) = tan x and f (x) = cot xWhich trigonometric function has a range that does not include zero? O A. y = COS X O B. y = cot x O C. y = tan x O D. y = sec xWhich function has zeroes at , where n is an odd integer? Select all that apply. 2 O A. y = COS X O B. y = cot x O C. y = CSC X O D. y = sec x O E. y = sin x O F. y = tan xWhat is one example of an odd trigonometric function? Explain.Which trigonometric functions are equivalent to tan 0? Select all that apply. O A. - tan (-2) O B. - tan a O C. tan (-@) O D. tan (8+27) O E. tan 8+.What is the period of the function y = 2sin 3x- +4? O A . O B. O C. 271 3 O D. IT O E. 217Which function has an asymptote at x = IT? O A. y = sec x O B. y = tan x O C. y = CSC X O D. y = COS XHow do the graphs of f(x)- sinx and g[x)- 25in[x+ 3) compare? Select all that apply. 4. _ A. The amplitude of gm is double the amplitude of f (x). 2 B. g[x) and f(x) have the same zeroes. [ ] C. g(x) is shifted 3 units higher than f(x). [ l .0 g[x) is shifted 3 units to the left of f (x). [ l T\" g[x) has a period that is half the period of f(x) . Which functions have the same transformations as f (x) = 5sec (x - 2)+1? Select all that apply. O A. f ( x) = 5(x- 2) x+1 O B. f (x) = 5sin (x-1) O C. f(x) =5(x-2)+1 O D. (x- 2) + ()+1) =5 O E. f (x) = 50*-2+1Use the graph to answer the question. What is the equation of the graphed trigonometric function? \fWhich function has the largest amplitude? O A. f(x)=4cosx-1 O B. f( x) = sin (3x + *)+4 O C. f ( x) =-3cos 6x+- +3 O D. f (x) = -5sin x- -2 3The graph of which trigonometric function(s) include the point (0,3) ? Select all that apply. O A. y = cos x + 3 O B. y = 3 cos X O C. y = sin 2x + 3 O D. y = tan x + 3 O E. y = sin 3x+ - +1 2The data in the table represents the average number of daylight hours each month in Springfield in 2015. rounded to the nearest quarter-hour. mm m m Write an equation that best models the data. What is the expected number of daylight hours in March 2020? Explain. A statistician is analyzing data to find a model. She has determined the following characteristics of the data. Which characteristic of the data defines the period? O A. The data repeats every 12 minutes. O B. The initial value is 10. O C. All of the values are positive. O D. The difference between the maximum and minimum values is 5.\fO C. 5 0 x -10 -5 TO -5 -10O D. 5 x 10 10 -5- 10A telephone pole that is 12 ft. tall has fallen against a house. If the top of the telephone pole touches the house 10 11. above the ground. what is the angle that the telephone pole makes with the ground? 0 A. 336 0 B. 56A" 0 C. 50.2\" 0 D. 39.8\" A man is in a tree house 10 ft. above the ground. He is looking at the top of another tree that is 22 ft. tall. The bases of the trees are 30 it. apart. What is the angle of elevation from the man's feet to the top of the tree? Round to the nearest degree. 0 A. 63" O B. 66 0 C. 24" 0 D. 22\" A weight is attached to a spring that is oscillating up and down. It takes 6 sec. for the spring to complete one cycle, and the distance from the highest to lowest point is 7 in. What equation models the position of the weight at time t seconds? O A. y =7 sin O B. y =7 sin O C. y= 7sin (671) O D. = 3.5sin O E. = 3.5sin O F. y= 3.5sin (6/t)