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Quiz - Semester 1Review

Total questions: 15

Worksheet time: 45mins

Name
Class
Date
1.
The inverse of the function f(x) is written as ...
a)
f -1(x)
b)
f 2(x)
c)
f '(x)
d)
f +(x)
2.

What is the inverse of the points (1,3)(2,4)(6,2)?

a)
(2,6)(3,1)(4,2)
b)
(-3,-1)(-4,-2)(-2,-6)
c)
(1,3)(2,4)(6,2)
d)
(-1,-3)(-2,-4)(-6,-2)
3.
If the equation of f(x) goes through (1, 4) and (4, 6), what points does f-1(x) go through?
a)
(1, 4) and (4, 6)
b)
(-4, -1) and (-6, -4)
c)
(-1, -4) and (-4, -6)
d)
(4, 1) and (6, 4)
4.

When finding the inverse of a relation,

1st: replace f(x) with y 2nd: switch the x's and y's

What do you do next?

a)
solve for y
b)
replace y with f-1(x)
c)
solve for x
d)
find the greatest common factor
5.

 Convert to exponential form: log8(164)=2\log_8\left(\frac{1}{64}\right)=-2 

a)

 28=164-2^8=\frac{1}{64}  

b)

 (164)2=8\left(\frac{1}{64}\right)^{-2}=8  

c)

 82=1648^{-2}=\frac{1}{64}  

d)

 (164)8=2\left(\frac{1}{64}\right)^8=-2  

6.

 Convert to exponential form: log17289=2\log_{17}289=2  


a)

 172=28917^2=289  

b)

 2892=17289^2=17  

c)

 17289=217^{289}=2  

d)

 217=2892^{17}=289  

7.

 Convert to exponential form: log71=0\log_71=0  

a)

 10=71^0=7  

b)

 70=17^0=1  

c)

 71=07^1=0  

d)

 07=10^7=1  

8.

 Convert to exponential form: log2x=16\log_2x=16  

a)

 2x=162^x=16  

b)

 x2=16x^2=16  

c)

 162=x16^2=x  

d)

 216=x2^{16}=x  

9.

 Convert to logarithmic form: 29=5122^9=512  

a)

 log9512=2\log_9512=2  

b)

 log2512=9\log_2512=9  

c)

 log29=512\log_29=512  

d)

 log92=512\log_92=512  

10.

 Convert to logarithmic form: 63=12166^{-3}=\frac{1}{216}  

a)

 log6(1216)=3\log_6\left(\frac{1}{216}\right)=-3  

b)

 log3216=6\log_3216=-6  

c)

 log63=1216\log_6-3=\frac{1}{216}  

d)

 log(1216)=6\log_{ }\left(\frac{1}{216}\right)=6  

11.

Which graph matches:

-x+4 if x < 2

2x-6 if x ≥ 2

a)

A

b)

B

c)

C

d)

D

12.
What is g(7) if:
a)

-17

b)

-13 

c)

13       

d)

17

13.

How many "pieces" are graphed in this function?

a)

1

b)

2

c)

3

d)

4

14.

When x is less than or equal to 2, what equation is shown in the graph?

a)

f(x) = 3

b)

f(x) = x

c)

f(x) = | x |

d)

f(x) = | x - 1 |

15.
Using the pictured graph, what is f(-3)? 
a)
-3
b)
-1
c)
1
d)
3