Question 1 (10 points)Listen
For each of the following functions, state
• the domain;
• the range;
the minimum and maximum values;
. the period;
• the phase shift;
. and the amplitude.
a) f(x) = -2 cos (3x – 1) +1
b) f(x) = {sin (5x + 7) – 1
Question 2 (16 points)
Listen
Describe the transformations in each graph.
Sketch the graphs of the following functions by hand, using transformations. Show
your work (show how the transformations map from the base function to the
transformed function) for the graph in addition to listing the information.
Graph values from 0 < x < 2.
a) f(x)
= - cos (2x – 1 – 2
b) f(x) = -sin (5x + 5) + 2
Question 314 point
Tareach of the grash below, retention of the form
1(x) - acos((-) + cor) -esin (4(2-d})+c.
Show all of your calon
M
Question 412 points
Os particular lace, the difference between high and low tide hour. At low tide,
.m., 3 student mentre 14 distance from the dark she is standing on, down to
the water two hours later, the more the distance from the dock down to the water
to be 1.39 m. Atam, the distance 1.135 m down to the water
Determine the function for the distance from the dock down to the water with
most to the number of hour
Determine the distance to the water at 4:30.mand 1:45 pm