(worth 20 points)
consider the exponential function f(x) = 3 and its graph. which statements are true for this function and graph? check all that apply.

the initial value of the function is 1/3
the growth value of the function is 1/3
the function shows exponential decay.
the function is a stretch of the function f(x) = (1/3)x .
the function is a shrink of the function f(x) = 3x.
one point on the graph is (3, 0).

Bruce is getting materials for a chemistry experiment his teacher gives him a container that has 0.25 liter of liquid in it. bruce need to use 0.4 of this liquid for the experiment. how much liquid will bruce use?

The weight v of an object on venus varies directly with its weight e on earth. a person weighing 120 lb on earth would weigh 106 lb on venus. how much would a person weighing 150 lb on earth weigh on venus?

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a. what is the independent and dependent variables? b. find the amplitude and the period of the function. c. create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.