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Sec. 4.1-4.3. Write the expression using logs: 2 x =7.2.

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Presentation on theme: "Sec. 4.1-4.3. Write the expression using logs: 2 x =7.2."— Presentation transcript:

1 Sec. 4.1-4.3

2 Write the expression using logs: 2 x =7.2

3 log 2 7.2=x

4 If every horizontal line intersects the graph of a function f at no more than one point, the f is a(n) ____________ function.

5 one-to-one

6 Find the inverse: f(x) = 2x + 6

7

8 Write the expression in exponential form: log 2 M = 1.3

9 2 1.3 = M

10 If the graph of every exponential function f(x) = a x, a>0, a not = 1, is decreasing, then a must be less than _________.

11 1

12 Graph f(x)=4 x

13 (0,1) (1,4) (-1,1/4)

14 If f -1 denotes the inverse of a function f, then the graphs of f and f -1 are symmetric with respect to the line ___________.

15 y = x

16 Find the inverse: {(1,2),(2,8),(3,18),(4,32)}

17 {(2,1),(8,2),(18,3),(32,4)}

18 Graph f(x)=log 4 x

19 (1,0) (4,1) (1/4,-1)

20 What is the asymptote of the graph f(x)=5+e -x ?

21 y = 5

22 Solve: (1/5) 2-x = 25

23 x = 4

24 What is the domain of the function f(x)=3 x+2 ?

25

26 What is the domain ?

27

28 Find the exact value (without using a calculator)

29 4

30 What is the domain of the function?

31

32 Determine if the two functions are inverses of each other:

33 no

34 Solve:

35 x = 2

36 What is the asymptote of the function h(x) = 3 + log(x + 2)?

37 x = -2

38 What is the domain of the function F(x) = log(2-x)?

39

40 Determine if the two functions are inverses of each other:

41 yes f(g(x)) = g(f(x)) =x


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