1)given: 2 + 3 = 5 does ln(2 + 3) = ln5 ? 2) given: ln(2 + 3) = ln5 does ln2 + ln3 = ln5 ?

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WARM-UPS: 1) GIVEN: 2 + 3 = 5 Does ln(2 + 3) = ln5 ? 2) GIVEN: ln(2 + 3) = ln5 Does ln2 + ln3 = ln5 ?

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Page 1: 1)GIVEN: 2 + 3 = 5 Does ln(2 + 3) = ln5 ? 2) GIVEN: ln(2 + 3) = ln5 Does ln2 + ln3 = ln5 ?

WARM-UPS:

1) GIVEN: 2 + 3 = 5 Does ln(2 + 3) = ln5 ?

2) GIVEN: ln(2 + 3) = ln5 Does ln2 + ln3 = ln5 ?

Page 2: 1)GIVEN: 2 + 3 = 5 Does ln(2 + 3) = ln5 ? 2) GIVEN: ln(2 + 3) = ln5 Does ln2 + ln3 = ln5 ?

GO OVER 1.1-1.4 QUIZ …

Page 3: 1)GIVEN: 2 + 3 = 5 Does ln(2 + 3) = ln5 ? 2) GIVEN: ln(2 + 3) = ln5 Does ln2 + ln3 = ln5 ?

Use the function f(x) = 3 – ln (x + 2)…

1) Which of the following is the domain of f?

(A) x ≠ -2 (B)

(C) (D)

(E)

( , )

( 2, ) [ 1.9, )

(0, )

Page 4: 1)GIVEN: 2 + 3 = 5 Does ln(2 + 3) = ln5 ? 2) GIVEN: ln(2 + 3) = ln5 Does ln2 + ln3 = ln5 ?

Use the function f(x) = 3 – ln (x + 2)…

2) Which of the following is the range of f?

(A) (B)

(C) (D)

(E)

( ,0)

( 2, ) (0, )

(0,5.3)

( , )

Page 5: 1)GIVEN: 2 + 3 = 5 Does ln(2 + 3) = ln5 ? 2) GIVEN: ln(2 + 3) = ln5 Does ln2 + ln3 = ln5 ?

2) Which of the following is a solution of the equation

2 3 1?x

(A) x = -2 (B) x = -1

(C) x = 0 (D) x = 1

(E) There are no solutions

Page 6: 1)GIVEN: 2 + 3 = 5 Does ln(2 + 3) = ln5 ? 2) GIVEN: ln(2 + 3) = ln5 Does ln2 + ln3 = ln5 ?

GO OVER 1.5 HOMEWORK …

Page 7: 1)GIVEN: 2 + 3 = 5 Does ln(2 + 3) = ln5 ? 2) GIVEN: ln(2 + 3) = ln5 Does ln2 + ln3 = ln5 ?

1) TRUE OR FALSE: The period ofJustify your answer.

sin( / 2) .y x is

Page 8: 1)GIVEN: 2 + 3 = 5 Does ln(2 + 3) = ln5 ? 2) GIVEN: ln(2 + 3) = ln5 Does ln2 + ln3 = ln5 ?

2) TRUE OR FALSE: The amplitude of Justify your answer.

1cos 1.

2y x is

Page 9: 1)GIVEN: 2 + 3 = 5 Does ln(2 + 3) = ln5 ? 2) GIVEN: ln(2 + 3) = ln5 Does ln2 + ln3 = ln5 ?

Use the function f(x) = 2 cos (4x + ) – 1.

3) Which of the following is the domain of f ?

(A) [-, ] (B) [-3, 1]

(C) [-1, 4] (D)

(E) x ≠ 0

( , )

Page 10: 1)GIVEN: 2 + 3 = 5 Does ln(2 + 3) = ln5 ? 2) GIVEN: ln(2 + 3) = ln5 Does ln2 + ln3 = ln5 ?

Use the function f(x) = 2 cos (4x + ) – 1.

4) Which of the following is the range of f ?

(A) (-3, 1) (B) [-3, 1]

(C) (-1, 4) (D) [-1, 4]

(E) ( , )

Page 11: 1)GIVEN: 2 + 3 = 5 Does ln(2 + 3) = ln5 ? 2) GIVEN: ln(2 + 3) = ln5 Does ln2 + ln3 = ln5 ?

Use the function f(x) = 2 cos (4x + ) – 1.

5) Which of the following is the period of f ?

(A) 4 (B) 3

(C) 2 (D)

(E) /2

Page 12: 1)GIVEN: 2 + 3 = 5 Does ln(2 + 3) = ln5 ? 2) GIVEN: ln(2 + 3) = ln5 Does ln2 + ln3 = ln5 ?

6) Which of the following is the measure of

in degrees?

(A) - 60 º (B) -30º

(C) 30º (D) 60º

(E) 120º

1tan ( 3)

Page 13: 1)GIVEN: 2 + 3 = 5 Does ln(2 + 3) = ln5 ? 2) GIVEN: ln(2 + 3) = ln5 Does ln2 + ln3 = ln5 ?

GO OVER 1.6 HOMEWORK …

Page 14: 1)GIVEN: 2 + 3 = 5 Does ln(2 + 3) = ln5 ? 2) GIVEN: ln(2 + 3) = ln5 Does ln2 + ln3 = ln5 ?
Page 15: 1)GIVEN: 2 + 3 = 5 Does ln(2 + 3) = ln5 ? 2) GIVEN: ln(2 + 3) = ln5 Does ln2 + ln3 = ln5 ?
Page 16: 1)GIVEN: 2 + 3 = 5 Does ln(2 + 3) = ln5 ? 2) GIVEN: ln(2 + 3) = ln5 Does ln2 + ln3 = ln5 ?
Page 17: 1)GIVEN: 2 + 3 = 5 Does ln(2 + 3) = ln5 ? 2) GIVEN: ln(2 + 3) = ln5 Does ln2 + ln3 = ln5 ?