3.
Given the graph of ƒ(x) below, sketch the graph of ƒ(x + 1) + 3.
4.
Given the graph of ƒ(x) below, sketch the graph of ƒ(x + 1) + 3.
5.
Given the graphs of ƒ(x) and g(x): (4 marks)
(a) Express ƒ(x) as a function of g(x)
(b) Express g(x) as a function of ƒ(x)
6.
Given the graphs of ƒ(x) and g(x): (4 marks)
(a) Express ƒ(x) as a function of g(x)
(b) Express g(x) as a function of ƒ(x)
7.
Given the graph of ƒ(x), sketch the graph of on the same cartesian
plane.
8.
Given the graph of ƒ(x), sketch the graph of on the same cartesian
plane.
9.
State whether each of the following is even, odd or neither.
10.
State whether each of the following is even, odd or neither.
11.
At a sea port, the depth of the water, h meters, at time, t hours, during a certain
day is given by this formula:
(a) State the: (i) period (ii) amplitude (iii) phase shift.
(b) What is the maximum depth of the water? When does it occur?
(c) Determine the depth of the water at 5:00 am and at 12:00 noon.
(d) Determine one time when the water is 2.25 meters deep.
GROUP HOMEWORK
POST SOLUTIONS TO THE BL0G
12.
At a sea port, the depth of the water, h meters, at time, t hours, during
a certain day is given by this formula:
(a) State the: (i) period (ii) amplitude (iii) phase shift.
(b) What is the maximum depth of the water? When does it occur?
13.
At a sea port, the depth of the water, h meter, at time, t hours, during a certain
day is given by this formula:
(c) Determine the depth of the water at 5:00 am and at 12:00 noon.
(d) Determine one time when the water is 2.25 meters deep.
14.
At a sea port, the depth of the water, h meter, at time, t hours, during a certain
day is given by this formula:
(d) Determine one time when the water is 2.25 meters deep.
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