pre-cal 40s slides october 15, 2007

14
Ferris Wheel Function ... Ferris Wheel Function

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Quiz on transformations and another trig problem.

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Page 1: Pre-Cal 40S Slides October 15, 2007

Ferris Wheel Function ...

Ferris Wheel Function

Page 2: Pre-Cal 40S Slides October 15, 2007

A short quiz ...

math

Page 3: Pre-Cal 40S Slides October 15, 2007

Given the graph of ƒ(x) below, sketch the graph of ƒ(x + 1) + 3.

Page 4: Pre-Cal 40S Slides October 15, 2007

Given the graph of ƒ(x) below, sketch the graph of ƒ(x + 1) + 3.

Page 5: Pre-Cal 40S Slides October 15, 2007

Given the graphs of ƒ(x) and g(x): (4 marks)

(b) Express g(x) as a function of ƒ(x)

(a) Express ƒ(x) as a function of g(x)

Page 6: Pre-Cal 40S Slides October 15, 2007

Given the graphs of ƒ(x) and g(x): (4 marks)

(b) Express g(x) as a function of ƒ(x)

(a) Express ƒ(x) as a function of g(x)

Page 7: Pre-Cal 40S Slides October 15, 2007

Given the graph of ƒ(x), sketch the graph of on the same cartesian plane.

Page 8: Pre-Cal 40S Slides October 15, 2007

Given the graph of ƒ(x), sketch the graph of on the same cartesian plane.

Page 9: Pre-Cal 40S Slides October 15, 2007

State whether each of the following is even, odd or neither.

Page 10: Pre-Cal 40S Slides October 15, 2007

State whether each of the following is even, odd or neither.

Page 11: Pre-Cal 40S Slides October 15, 2007

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.

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Page 12: Pre-Cal 40S Slides October 15, 2007

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?

Page 13: Pre-Cal 40S Slides October 15, 2007

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.

Page 14: Pre-Cal 40S Slides October 15, 2007

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.