Multiple Choice Questions 1. Another way of writing 2 is a. log2-3) 8 log,2--3 d

Question

Multiple Choice Questions

1. Another way of writing 2 is a. log2-3) 8 log,2--3 d 2. Another way of writing 5-log,1024 is 1204 54 1024 1024-45 1024--5 d. 3. Which of the following functions would translate fx) -logio x horizontally 4 units to the left? /x)-log10(x-4) b.fo)-4 logox -log10(x+4)d. f)-logioX+4 ?. 4. The x-intercept of the function y--4log(x+ 3) is 5. Which of the following transformations should be performed first when considering the graph of the function (x)-log10 (3x-5)+2? vertical translation 2 units up c. horizontal translation 5 units to the right horizontal compression by a factor of d. Order of transformations does not matter 6. The function y--2 log is compressed vertically by a factor of 2

Explanation / Answer

1) 2^-3 = 1/8

log 2 ( 1/8 ) = - 3

option d is correct

2) 5 = log 4 (1024 )

4^5 = 1024

option b is correct

3) f(x) = log 10 x horizontally shifted 4 units

f(x) = log 10 ( x + 4)

option c is correct

4) y = - 4 log (x+ 3)

0 = - 4 log (x + 3)

10^0 = x + 3

x = - 2

x intercept is - 2

option d is correct

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