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Term 1 Revision

Total questions: 50

Worksheet time: 3hrs 35mins

Name
Class
Date
1.

Give the range of the set of ordered pairs: (2, 11), (9, -3), (7, 21), (-8, 6)

a)

{2, 9, 7, -8}

b)

{11, -3, 21, 6}

c)

-8 < x < 9

d)

-3 < y < 21

2.

What is the domain of the graph shown?

a)

{-2, -1, 0, 1, 2, 3, 4}

b)

{2, 3, 4}

c)

2 ≤ y ≤ 4

d)

-2 ≤ x ≤ 4

3.

Does the graph show a function?

a)

Yes

b)

No

4.

Which set of ordered pairs is not a function?

a)

(1, 3), (2, 7), (3, 8), (4, 11)

b)

(2, 3), (4, 9), (3, 8), (4, 15)

c)

(1, 2), (3, 5), (6, 9), (7, 11)

d)

(-9, 4), (-6, 3), (-2, 8), (0, 21)

5.

For the function: f(x) = 7(x - 11), f (16) = _____

a)

5

b)

35

c)

16

d)

28

6.

For the set of ordered pairs (x, f(x)): (2, 10), (4, 20), (7, 35), (11, 55), what is the function f(x)?

a)

f(x) = x + 8

b)

f(x) = 10x

c)

f(x) = 7x - 12

d)

f(x) = 5x

7.

Which mapping diagram is not a function?

a)
b)
c)
d)
8.

For which function would f(3) = 17

a)

f(x) = 5x

b)

f(x) = 2(x + 4) + 3

c)

f(x) = x - 10

d)

f(x) = 3x + 6

9.

Which graph is not a function?

a)
b)
c)
d)
10.

-2f(x)

a)

18

b)

-4x2 -10x

c)

26

d)

-4x2 +10x

11.

f(x-2)

a)

2x2 - 13x + 18

b)

2x2 - 5x + 18

c)

2x2 - 8x + 3

d)

2x2 - 13x + 2

12.

g(4x)

a)

1728x3

b)

12x3

c)

192x3

d)

36x3

13.

(f + g) (x)

a)

5x2 + 3x

b)

4x2 + 3x

c)

5x2 - 3x

d)

4x2 - 40x

14.

Find f[g(5)]

a)

30

b)

242

c)

92

d)

2

15.

g[h(-2)]

a)

30

b)

624

c)

13

d)

286

16.
Find the inverse of 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
17.

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

a)

True

b)

False

18.
Find the inverse of
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
19.

If f(x)=x+5, what is f-1(x)?

a)

(x + 5)2

b)

x - 5

c)

(x + 5)-1

d)

undefined

20.
a)

Inverse Functions

b)

Not Inverse Functions

21.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
22.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
23.
What is the range of f(x) = 5x?
a)
-∞ ≤ x ≤ ∞
b)
-∞ ≤ y ≤ ∞
c)
x > 0
d)
y > 0
24.
What is the domain of f(x) = 5x?
a)
-∞ ≤ x ≤ ∞
b)
-∞ ≤ y ≤ ∞
c)
x > 0
d)
y > 0
25.
Given y=3x determine the y-intercept 
a)
(0,1)
b)
(0,3)
c)
No Y-intercept
d)
y=1
26.
Given y=3x determine the asymptote
a)
(0,1)
b)
(0,3)
c)
x=0
d)
y=0
27.
What is the equation of the horizontal asymptote?
a)
y=1
b)
y=0
28.
What is the x-intercept of the exponential function? 
a)
(0,1)
b)
(0,0)
c)
There is not one
29.
Compare f(x) = 3x- 4 with the basic function g(x) = 3x
a)
4 units up
b)
4 units to the left
c)
4 units to the right
d)
4 units down
30.
Given g(x)=5x
Write a function that is reflected over the line x=0 and translated 4 units to the right. 
a)
f(x)= -5x-4
b)
f(x)= -5x+4
c)
f(x)= 5(x-4)
d)
f(x)= 5-(x-4)
31.
Given g(x)=(1/2)x
Write a function that is reflected over the line y=0 and translated 4 units up. 
a)
f(x)= -(1/2)x+4
b)
f(x)= -(1/2)x+4
c)
f(x)= (1/2)x-4
d)
f(x)= -(1/2)x+4
32.
What kind of transformation is represented?
a)
up 1 unit
b)
left 1 unit
c)
right 1 unit 
d)
down 1 unit
33.
What is the transformation?
a)
Horizontal Translation left 2
b)
Vertical Translation down 2
c)
None
d)
Reflection across the line y=0
34.
You invest $400 for 5 years and the interest rate is 4.29% each year. 
a)
y=400(1 - 0.0429)5
b)
y=400(1+.0429)5
c)
y=400(1+ 4.29)5
d)
y=400e0.049*5
35.
What transformations have happened to f(x) = 2x if the new equation is
 g(x) = -2(x+3) -6
a)
It stayed the same
b)
reflects, up 3, left 6
c)
reflects, right 3, down 6
d)
reflects, left 3, down 6
36.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?
a)
y=8(15,000)x
b)
y=15,000(1 + .08)x
c)
y=15,000(1 - .08)x
d)
y=15,000(0.08)x
37.
Which function represents the table of values? 
a)
f(x) = 4x
b)
f(x) = x3
c)
f(x) = 4x
d)
f(x) = 4x-1
38.
Compare f(x) = 2x to the basic function h(x) = 2-x
a)
Reflection over the line y = 0
b)
Reflection over the line x = 0
39.
Solve: 98-x = 27x-3
a)
x = 5
b)
x = -5
c)
x = 1/5
d)
x = -1/5
40.
Solve: 2x = 4x+1
a)
x = -2
b)
x = 2
c)
x = -3
d)
x = 3
41.
Sovle for x:
5-3x - 1 = 25
a)
x = -1
b)
x = -4
c)
x = -3
d)
x = 1
42.
Solve 8 = 25x+7
a)
x = ⅘
b)
x = ¼
c)
x = -⅘
d)
x = -¼
43.
Change to Exponential Form:
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
44.
Change to Logarithmic Form:
53 = 125
a)
log 5 125 = 3
b)
log 3 125 = 5
c)
log 5 3 =125
d)
log125 3 = 5
45.
Condense.
a)
log2x2y10
b)
log2x2+log2y10
c)
log2x2/y10
d)
log210xy
46.
Expand.
a)
log x + 5 log y
b)
5 log x + 5 log y
c)
5 log x - log y
d)
log x - 5 log y
47.
Solve:
log9(x)+log9(x+2)=log9(35)
a)
5
b)
-7
c)
5, -7
d)
-7, -13
48.
Solve
a)
5
b)
13
c)
84
d)
-20
49.

Solve the equation for x

a)

1.585

b)

3.169

c)

0.792

d)

1.084

50.

Solve for x

a)

1.631

b)

2.262

c)

1.734

d)

1.465

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