Answers25-26 KCS21 Precalculus ICCumulative Exam

Cumulative Exam — Cumulative exam Answers

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Which expression is equivalent to the following complex fraction?

Question illustration
A
StartFraction (y + 1) (y minus 1) Over y squared EndFraction
Option A
B
StartFraction y + 1 Over y minus 1 EndFraction
Option B
C
StartFraction y minus 1 Over y + 1 EndFraction
Option C
D
StartFraction y squared Over (y + 1) (y minus 1) EndFraction
Option D
22
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Consider the graph of f(x) = 5x 6 – 5x 5 – x 4.

Question illustration
A
One-half minus StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot less-than x less-than one-half + StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot
Option A
B
One-half minus StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot less-than-or-equal-to x less-than-or-equal-to one-half + StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot
Option B
C
x less-than one-half minus StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot and x greater-than one-half + StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot
Option C
D
x less-than-or-equal-to one-half minus StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot and x greater-than-or-equal-to one-half + StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot
Option D
23

Which graph shows the solution set of ?

Question illustration
A
mc013-2.jpg
Option A
B
mc013-3.jpg
Option B
C
mc013-4.jpg
Option C
D
mc013-5.jpg
Option D
24

What are the potential solutions of

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
25

Which sequence explains a geometric method of determining ?

Question illustration
A
Plot 2 + 2i. Scale by . Rotate 45° clockwise.
Option A
B
Plot 3 – 17i. Scale by . Rotate 45° clockwise.
Option B
C
Plot 2 + 2i. Scale by . Rotate 45° clockwise.
Option C
D
Plot 3 – 17i. Scale by . Rotate 45° clockwise.
Option D
26

The polynomial function f(x) is a fourth degree polynomial. Which of the following could be the complete list of the roots of f(x)?

A
3, 4, 5, 6
B
3, 4, 5, 6i
C
3, 4, ,
Option C
D
3, 4, 5 + i, –5 + i
27

Consider the function f(x) = . What transformation results in g(x)?

Question illustration
A
Translate units left and 7 units up.
Option A
B
Translate units right and 7 units up.
Option B
C
Translate units left and 7 units down.
Option C
D
Translate units right and 7 units down.
Option D
28

Determine if the given function has any points of discontinuity. Explain your reasoning.

Question illustration
A
There is a point of discontinuity at x = b because the denominator has the factor x – b.
B
There are points of discontinuity at both x = – b and x = b because the numerator has factors of x + b and x – b.
C
There is a point of discontinuity at x = -b only because the factor of x – b is common to both the numerator and denominator.
D
There is a point of discontinuity at x = b only because the factor of x – b is common to both the numerator and denominator and factors out.
29

Which trigonometric functions have a domain of [–1, 1]?

A
y = arcsinx and y = arccosx
B
y = arccosx and y = arctanx
C
y = arcsinx and y = arctanx
D
y = arcsecx and y = arccscx
30

Which equation describes a rational function with x-intercepts at –4 and 2, a vertical asymptote at x = 1 and x = –1, and a horizontal asymptote at y = –3?

A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
31

What is the solution of ?

Question illustration
A
–8
B
–6
C
8
D
9
32

The relationship between voltage E, current I, and resistance Z is given by the equation E = IZ. If a circuit has a current I = 3 + 2i and a resistance Z = 2 – i, what is the voltage of the circuit?

A
4 – i
B
4 + i
C
8 + i
D
8 + 7i
33

Amanda has a job that pays $35 per hour for the first 40 hours worked each week, plus 1.5 times this hourly rate for work done over 40 hours. Suppose Amanda works 50 hours this week. How much will she earn before taxes?

A
$1,575
B
$1,750
C
$1,925
D
$2,625
34

What is the approximate value of a local maximum for the polynomial?

Question illustration
A
–4.5
B
–2.5
C
0.5
D
2.5
35

If m(x) = x2 + 3 and n(x) = 5x + 9, which expression is equivalent to (mn)(x)?

A
5x3 + 9x2 + 15x + 27
B
25x2 + 90x + 84
C
x2 + 5x + 12
D
5x2 + 24
36

What is the product of 65(cos(14°) + i sin(14°)) and 8(cos(4°) + i sin(4°))?

A
73(cos(18°) + i sin(18°))
B
73(cos(56°) + i sin(56°))
C
520(cos(18°) + i sin(18°))
D
520(cos(56°) + i sin(56°))
37

Which graph shows the solution set of ?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
38

The values in the table represent the graph of a continuous function. Which interval must contain an x-intercept?xy–3.1–1.85–2.7–0.84–2.3–0.09–1.90.44–1.50.79–1.11.00–0.71.10–0.31.130.11.13

A
–3.1 < x < –2.7
B
–2.3 < x < –1.9
C
–1.5 < x < –1.1
D
–0.3 < x < 0.1
39

Let csc(x) = , where . Which ratio has a value of ?

Question illustration
A
cos(x)
B
sin(x)
C
sec(x)
D
cot(x)
40

What is the quotient?

Question illustration
A
(t + 3) squared
Option A
B
(t + 4) squared
Option B
C
StartFraction 1 Over (t + 4) squared EndFraction
Option C
D
StartFraction 1 Over (t + 3) squared EndFraction
Option D

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