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HPC Semester 1 Final Exam Practice

Total questions: 46

Worksheet time: 5hrs 50mins

Name
Class
Date
1.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
2.

Test used to determine if a function's inverse is a function

a)

3d line test

b)

diagonal line test

c)

horizontal line test

d)

vertical line test

3.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
4.

Does this parabola have a maximum or minimum?

a)

Maximum

b)

Minimum

c)

Neither

d)

Both

5.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
6.
Using the pictured graph, what is f(-3)? 
a)
-3
b)
-1
c)
1
d)
3
7.
Given f(x) =
2x2 + 5x - 17, find f(-1). 
a)
f(-1) = -20
b)
f(-1) = -24
8.
#7 - List the types of intervals that the graph demonstrates in order.
a)
decreasing, constant, increasing, constant
b)
increasing, decreasing, constant
c)
increasing, constant, increasing, constant
d)
increasing, constant, decreasing, constant
9.

On what interval is the graph decreasing?

a)

(0, 60)

b)

(40, 60)

c)

(15, 40)

d)

(60, -40)

10.

What is the range of this function?

a)

(-∞,∞)

b)

[0,∞)

c)

All real numbers

d)

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

11.

What is the domain of this function?

a)

-3 < y ≤ 3

b)

-4 ≤ y ≤ 5

c)

-4 ≤ x ≤ 5

d)

-3 < x ≤ 3

12.

When finding the inverse of a function,

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)

replace y with f-1(x)

c)

solve for y

d)

find the greatest common factor

13.

What is the equation that the inverse will reflect across?

a)

y = x

b)

y = 0

c)

x = 0

d)

Undefined

14.

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)

15.

Find the inverse of

f(x)=2x-2

a)

f-1(x)=1/2x+1

b)

f-1(x)=-2-1/2x

c)

f-1(x)=-7/3x-20/3

d)

2-2/5x

16.

If f(x)=9x+2, find f (x+1)

a)

9x+11

b)

9x+9

c)

x+11

d)

11x+9

17.

Simplify:

a)

(a6c6)/b3

b)

0

c)

1

d)

a5b3c3

18.

Simplify:


(34x5y6z-7)0

a)

34x5y6 / z7

b)

34x5y6 / x-7

c)

0

d)

1

19.
Rewrite using a positive exponent.
7-10
a)
1/710
b)
710
c)
1/7-10
d)
-70
20.
Expand
a)
6log8v-2log8u
b)
6log8u-2log8v
c)
3log8u-2log8v
d)
6log8u+2log8v
21.
Condense
a)
logxyz3
b)
log(xy/z3)
c)
logx+logy+logz3
d)
logx3y3z3
22.

Condense

a)

log8(a18/b3)

b)

log8(a18b3)

c)

log8(a/b3)

d)

15log8(a/b3)

23.

Solve the following expression.

a)
b)
c)
d)
24.

Solve for x.

a)
b)
c)
d)
25.

log (x - 3) = 2

a)

x = 103

b)

x = 97

c)

x = 9

d)

x = -9

26.

Solve

a)

1

b)

0

c)

-1

d)

Undefined

27.

Solve:


log5(4x-7)=log5(x+5).

a)

x=4

b)

x=-4

c)

x=3

d)

x=-2

28.
log6(2x + 3) = 3
a)
x = 106.5
b)
x = 100
c)
x = 16
d)
x = 50
29.

Simplify:

(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

30.
What is the complex conjugate of  4-3i?
a)
A.  1/(4-3i)
b)
B. 1/(4+3i)
c)
C.  -4 + 3i
d)
D.  4 + 3i
31.

Simplify:


(10+ 15i) - (48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

32.

Simplify:


(-3i)(4i)(-5i)

a)

-60i

b)

60

c)

-60

d)

60i

33.

Simplify:


(y9)-2

a)

y18

b)

y11

c)

1/y18

d)

y9/2

34.
Which expression(s) are equivalent to 55 ?
54⋅50          54⋅51         54⋅52         56⋅5-1
a)
54⋅50          54⋅51
b)
 54⋅51        54⋅52 
c)
54⋅52              56⋅5-1
d)
54⋅51          56⋅5-1
35.

Simplify:

a)

A

b)

B

c)

C

d)

D

36.

What is the base of this log? ln(x-4) = 7

a)

4

b)

7

c)

e

d)

10

37.

Evaluate:

a)

-1

b)

0

c)

undefined

d)

√3

38.
a)

sin x

b)

cos x

c)

tan x

d)

csc x

39.
Name the quadrant in which the terminal side lies: 7π/4
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
40.

Solve for x:


6 - e12x = 5.2

a)

-0.019

b)

-0.102

c)

No Solution

d)

7.777

41.

What does i70 = ?

a)

-1

b)

√-1

c)

1

d)

-√1

42.

What does i44 ?

a)

sqrt(-1)

b)

-1

c)

-i

d)

1

43.

Solve:


x2 + 49 = 0

a)

-7

b)

-7

c)

7i

d)

±7i

44.

What does i25 ?

a)

1

b)

-1

c)

i3

d)

i

45.

Simplify:

a)
b)
c)
d)
46.

Simplify:

a)

A

b)

B

c)

C

d)

D

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