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Worksheets6.05 Do Now
Total questions: 10
Worksheet time: 30mins
Name
Class
Date
1.
Describe the end behavior of the function shown: y=log2(x+1)
a)
b)
c)
2.
Describe domain of the function shown: y=log2(x+1)
a)
(-∞,∞)
b)
(-1,∞)
c)
(-1,3)
d)
(∞, -1)
3.
Describe range of the function shown: y=log2(x+1)
a)
(-∞,∞)
b)
(-1,∞)
c)
(-1,3)
d)
(∞, -1)
4.
Write the equation of the function f(x)=log3x after the following transformations:
Translate 6 units left and 4 units up.
a)
g(x)=log3(x+6)+4
b)
g(x)=log3(x+4)-6
c)
g(x)=log3(x-6)+4
d)
g(x)=3log(x+6)+4
5.
What kind of asymptotes do logs have?
a)
horizontal ( y=0)
b)
vertical (x=0)
6.
Convert 6(x+2)=216 to logarithmic form
a)
log216(x+2)=6
b)
log6(x+2)=216
c)
log6(216)=x+2
d)
log(x+2)(216)=6
7.
Convert log(x)=5 to exponential form
a)
15=x
b)
10x=5
c)
x5=10
d)
105=x
8.
Convert 10(x+5)=100 to logarithmic form.
a)
log100=x+5
b)
log(x+5)=100
c)
log(100)=x+5
d)
log(x+5)(100)=10
9.
Convert log(x)=y+2 to exponential form.
a)
10(y+2)=x
b)
1x=y+2
c)
10x=y+2
d)
x(y+2)=10
10.
Convert 2x+6=10 to logarithmic form
a)
log4(x)=2
b)
log2(4)=x
c)
log2(10)=6
d)
log2(x)=4
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