algebra quiz 13

Find for the following functions.

Question 1 options:

	,
	,
	,
	,

Question 2 (5 points)

Find for the following functions.

f(x) = 2x² – 7x – 6

g(x) = 4x – 6

Question 2 options:

	8x3 – 40x2 + 18x + 36
	8x3 – 40x2 + 18x – 36
	8x3 + 12x2 – 10x + 36
	8x3 – 40x2 + 42x – 60

Question 3 (5 points)

Evaluate the logarithmic expression.

Graph
f(
x) =
.

Question 3 options:

Question 4 (5 points)

Evaluate the logarithmic expression.

log
₆ 1,296

Question 4 options:

	4
	46
	1,296
	61,296

Question 5 (5 points)

Find the geometric means in the following sequence.

2, ? , ? , ? , ? , –6,250

Question 5 options:

	50, –250, 1,250, –6,265
	–10, 50, –250, 1,250
	–200, –300, –400, –500
	10, 50, 250, 1,250

Question 6 (5 points)

Find
and
.

g(x) = 5x

h(x) = –10x³ + 13x² – 3x + 3

Question 6 options:

	= –50x4 + 65x3 – 15x2 + 15x = –1250x4 + 325x3 – 15x2 + 3x
	= 50x3 + 65x2 – 15x + 15 = –1250x3 + 325x2 – 15x + 3
	= –50x3 + 65x2 – 15x + 15 = –1250x3 + 325x2 – 15x + 3
	= –50x3 + 65x2 – 15x + 15 = –1250x3 + 325x2 – 15x + 15

Question 7 (5 points)

Find
for the following functions.

f(x) = 12x + 20

g(x) = –11x² + 10x + 33

Question 7 options:

	11x2 + 2x – 13
	–11x2 – 2x + 13
	23x2 – 10x – 13
	–11x2 – 2x – 13

Question 8 (5 points)

A pool was sprayed with insecticide, and 2,400 mosquitoes were killed on the first day, 600 on the second day, 150 on the third day, and so on. What number of mosquitoes was killed on the sixth day after the spraying? (Round the answer to the nearest whole number.)

Question 8 options:

	2
	2401
	1
	0

Question 9 (5 points)

Solve the given equation.

Question 9 options:

Question 10 (5 points)

Find the inverse of the given relation.

{(9, –10), (2, –2), (8, –7), (13, –13)}

Question 10 options:

	{(–10, 9), (2, –2), (–7, 8), (–13, 13)}
	{(–10, 9), (–2, 2), (–7, –8), (–13, 13)}
	{(–10, 9), (–2, 2), (–7, 8), (–13, 13)}
	{(–10, 9), (–2, 2), (–7, 8), (–13, –13)}

Question 11 (5 points)

Find
for the following functions.

Question 11 options:

	,
	,
	,
	,

Question 12 (5 points)

Evaluate the logarithmic expression.

Graph
f(
x) =
.

Question 12 options:

Question 13 (5 points)

Find
for the following functions.

Question 13 options:

	,
	,
	,
	,

Question 14 (5 points)

The Gross National Product (GNP) is the value of all the goods and services produced in an economy, plus the value of the goods and services imported, less the goods and services exported. During the period 1994-2004, the GNP of Canada grew about 4.8% per year, measured in 2003 dollars. In 1994, the GNP was $5.9 billion.

Assuming this rate of growth continues, in what year will the GNP reach $10 trillion?

Question 14 options:

	2103
	2152
	2164
	2168

Question 15 (5 points)

Use a calculator to approximate the value of
to three decimal places.

Question 15 options:

	2.000
	12.961
	4.000
	3.600

Question 16 (5 points)

Determine whether each pair of functions are inverse functions.

1) f(x) = , g(x) =

2) f(x) = x – 9, g(x) = x + 9

Question 16 options:

	Both 1 and 2 are inverse functions.
	Only 2 is an inverse function.
	Neither 1 nor 2 is an inverse function.
	Only 1 is an inverse function.

Question 17

Find S for the given geometric series. Round answers to the nearest hundredth, if necessary.

a
₁ = –12,
a
₅ = –7,500,
r = 5

Question 17 options:

	–9,372
	–6,252
	–1,872
	–18,780

Question 18 (5 points)

Graph the given function. State the domain and range.

Question 18 options:

	The domain is x ≤ and the range is y ≤ 6.
	The domain is x ≤ and the range is y 6.
	The domain is x and the range is y 6.
	The domain is x ≤ and the range is y 6.

Question 19 (5 points)

Find the geometric means in the following sequence.

–6, ? , ? , ? , ? , –1,458

Question 19 options:

	18, 54, 162, 486
	–18, –54, –162, –486
	–360, –540, –720, –900
	–54, –162, –486, –1,473

Question 20 (5 points)

Find S for the given geometric series. Round answers to the nearest hundredth, if necessary.

a
₁ = 0.2,
a
₅ = 259.2,
r = 6

Question 20 options:

	311
	51
	222.2
	624.96

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