AnswersVA-Mathematical AnalysisPiecewise Defined Functions

Complex Numbers Answers

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Which complex number has an absolute value of 5?

A
–3 + 4i
B
2 + 3i
C
7 – 2i
D
9 + 4i
2
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If , what is the value of i 3?

Question illustration
A
–1
B
i
C
1
D
–i
3

What is the square root of –16?

A
–8i
B
–4i
C
4i
D
8i
4

Which complex number is represented by the point graphed on the complex plane below?

Question illustration
A
–4 + 3i
B
3 + 4i
C
3 – 4i
D
4 + 3i
5

What is the square root of -1?

A
–i
B
i
C
–1
D
1
6

What is the distance from the origin to point A graphed on the complex plane below?

Question illustration
A
StartRoot 5 EndRoot
Option A
B
StartRoot 13 EndRoot
Option B
C
9
D
13
7

If f(x) = x3 – 2x2, which expression is equivalent to f(i)?

A
–2 + i
B
–2 – i
C
2 + i
D
2 – i
8

Which of the following is equivalent to ?

Question illustration
A
5i
B
18 – 5i
C
18 + 5i
D
23
9

If f(x) = 1 – x, which value is equivalent to |f(i)|?

A
0
B
1
C
StartRoot 2 EndRoot
Option C
D
StartRoot negative 1 EndRoot
Option D
10

In which quadrant is the number –14 – 5i located on the complex plane?

A
I
B
II
C
III
D
IV

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