Logarithmic Functions
3.
What type of functions will be discussed in today's lesson?
A
linear
B
logarithms
C
exponential
D
quadratic
4.
When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?
A
solve for x
B
find the greatest common factor
C
solve for y
D
replace y with f-1(x)
5.
The inverse has been reflected over which line?
A
y=x+1
B
y=0
C
y=x
D
y =1
6.
Find the inverse
f(x)= x4 - 2
A
∜2x
B
-1+2x4
C
∜(x+2)
D
(x+2)4
7.
Find the inverse
f(x)=2x-2
A
f-1(x)=-7/3x-20/3
B
f-1(x)=1/2x+1
C
2-2/5x
D
f-1(x)=-2-1/2x
8.
Is this exponential growth or decay?
ADecay
BGrowth
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12.
Rewrite logpt = m in exponential form.
A
pm = t
B
tm = p
C
mt = p
D
pt = m
13.
Rewrite 34 = 81 in logarithmic form.
A
log481 = 3
B
log381 = 4
C
log813 = 4
D
log34 = 81
14.
Rewrite log28 = 3 in exponential form
A
23 = 8
B
32 = 8
C
28 = 3
D
83 = 2
15.
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17.
Evaluate log41
A
4
B
0
C
1
D
undefined
18.
Evaluate.
log381
A
1
/4
B
4
C
-1/4
D
-4
19.
Evaluate.
log6(1/216)
A
-3
B
-1/3
C
1
/3
D
3
20.
21.
What is the inverse of
c\left(x\right)=\log\left(x\right)c(x)=log(x)
A
c^{-1}\left(x\right)=x^{10}c−1(x)=x10
B
c^{-1}\left(x\right)=x^ec−1(x)=xe
C
c^{-1}\left(x\right)=10^xc−1(x)=10x
D
c^{-1}\left(x\right)=\ln xc−1(x)=lnx
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30.
loga x
This function always passes thru coordinate:
A
(a, 0)
B
(0, a)
C
(1, 0)
D
(0, 1)
31.
Logarithmic functions have...
A
Horizontal asymptote at y=1
B
Vertical asymptote at x=1
C
Vertical asymptote at x=0
D
Horizontal asymptote at y=0
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