WorksheetsRemediation Inverse Functions
Total questions: 40
Worksheet time: 36mins
Name
Class
Date
1.
The inverse has been reflected over which line?
a)
y = x
b)
y =1
c)
y = 0
d)
y = x + 1
2.
Which of the following is the inverse of this graph?
a)
Parabola open up
b)
Parabola open left
c)
Parabola open right
d)
Parabola open down
3.
Are these functions inverses?
a)
Yes
b)
No
c)
no way to tell
4.
Are these functions inverses?
a)
Yes
b)
No
c)
no way to tell
5.
Will the inverse of this function be a function?
a)
Yes
b)
No
c)
No way to tell
6.
Are these functions inverses?
a)
No
b)
Yes
c)
No way to tell
7.
Does this represent two inverse functions?
a)
no
b)
yes
c)
no way to tell
8.
are these the graphs of two inverse functions?
a)
yes
b)
no
c)
no way to tell
9.
Will the inverse of this function, be a function?
a)
no
b)
yes
c)
no way to tell
10.
are these inverse functions?
a)
no
b)
yes
c)
no way to tell
11.
Are these inverse functions?
a)
yes
b)
no
c)
no way to tell
12.
are these inverse functions?
a)
no
b)
yes
c)
no way to tell
13.
are these inverse functions
a)
no
b)
yes
c)
no way to tell
14.
are these inverse functions?
a)
no
b)
yes
c)
no way to tell
15.
are these inverses?
a)
yes
b)
no
c)
no way to tell
16.
are these inverse functions?
a)
yes
b)
no
c)
no way to tell
17.
is the inverse function found correctly?
a)
yes
b)
no
18.
Was the inverse function found correctly?
a)
no,
b)
yes
19.
Are these inverse functions?
a)
yes
b)
no
c)
no way to tell
20.
Find the inverse of
f(x) = -4x - 12
f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
21.
Find the inverse of
f(x) = 1/4x - 7
f(x) = 1/4x - 7
a)
f-1(x) = 4x + 7
b)
f-1(x) = -4x + 28
c)
f-1(x) = -4x - 7
d)
f-1(x) = 4x + 28
22.
Find the inverse of
f(x) = -3x + 3
f(x) = -3x + 3
a)
f-1(x) = -3x + 1
b)
f-1(x) = -1/3x + 1
c)
f-1(x) = -1/3x - 1
d)
f-1(x) = 1/3x + 1
23.
a)
A
b)
B
c)
C
d)
D
24.
When creating an inverse you must...
a)
Switch the x and y
b)
Solve for x
c)
Draw a graph
d)
drop that NaeNae
25.
a)
A
b)
B
c)
C
d)
D
26.
What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)
a)
(1, 2) (3, 8) (-3, 6)
b)
(1, 2) (8, 3) (-3, 6)
c)
(-1, -2) (-3, -8) (3, -6)
d)
(2, 1) (8, 3) (6, -3)
27.
Is the inverse of this relation a function?
a)
yes, x's are unique
b)
no, x's are unique
c)
no, y's are unique
d)
yes, y's are unique
28.
Which is the inverse for the function
a)
a.
b)
b.
c)
c.
d)
d.
29.
Which is the inverse for the function?
f(x) = 22x-3
f(x) = 22x-3
a)
f-1(x) = log2(x) − 6
b)
f-1(x) = log2(x) + 6
c)
f-1(x)=½log2(x) + 3/2
d)
f-1(x)=½ln(x)+3/2
30.
Find the inverse of the function
f(x) = ex-4
f(x) = ex-4
a)
f-1(x)=ln(x) + 4
b)
f-1(x)=ln(e) + 4
c)
f-1(x)=ln(x) − 4
d)
f-1(x)=log(x) + 4
31.
Find the inverse of the function:
f(x) = 103x
f(x) = 103x
a)
f-1(x)=log(3x)
b)
f-1(x)=3log(x)
c)
f-1(x)=⅓ log(x)
d)
f-1(x)=⅓ ln(x)
32.
Find the inverse of the function:
f(x) = 102x-1
f(x) = 102x-1
a)
f-1(x)=2 log(x) + 1
b)
f-1(x)= ½log(x) + ½
c)
f-1(x)=2log(x) + ½
d)
f-1(x)=2ln(x) + 1
33.
a)
a.
b)
b.
c)
c.
d)
d.
34.
What does it mean to find the inverse of a function?
a)
the x's and y's are switched
b)
the x's and y's are divided by 2
c)
the x's and y's are made negative
d)
the x's and y's are the same
35.
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?
1st you 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
36.
Will the inverse of this function, be a function?
a)
No
b)
Yes
c)
No way to tell
37.
Are these inverses?
a)
Yes
b)
No
c)
Cant tell
38.
Find the inverse of the function
f(x) = 3x − 5
f(x) = 3x − 5
a)
f-1(x)=3x +5
b)
f-1(x)=⅓log(x) + 5
c)
f-1(x)=⅓x + 5/3
d)
f-1(x)=⅓x + 3/5
39.
find the inverse of the function
f(x) = x2 − 4
f(x) = x2 − 4
a)
f-1(x)=x2 +4
b)
f-1(x)=√(x2 +4)
c)
f-1(x)=±√(x +4)
d)
f-1(x)=√(x2 +4)
40.
find the inverse of the function
f(x) = x2 +4x +7
f(x) = x2 +4x +7
a)
f-1(x)=±√(x−3) − 2
b)
f-1(x)=±√(x−3) + 2
c)
f-1(x)=±√(x+3) − 2
d)
f-1(x)=±√(x−3) + 2
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