AnswersFL-1200700-Mathematics for College Algebra MISRadical Equations and Extraneous Roots

Radical Equations and Extraneous Roots — Unit test Answers

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What values are excluded from the domain and range of the function ?

Question illustration
A
domain: range:
Option A
B
domain: range:
Option B
C
domain: range:
Option C
D
domain: range:
Option D
2
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The parent function f(x) = x3 and its translation, g(x), are shown on the graph.

Question illustration
A
g(x) = (x – 5)3 + 3
B
g(x) = (x + 3)3 – 5
C
g(x) = (x – 3)3 + 5
D
g(x) = (x + 5)3 – 3
3

The table below shows the different times it takes Paula to drive to her grandmother’s house depending on the rate at which she drives.Rate vs. TimeRate (mph)30405060Time (h)2.51.8751.51.25If one day Paula rides a scooter to her grandmother’s house at a constant rate of 24 miles per hour, how long should it take her?

A
2.625 hours
B
2.75 hours
C
3.125 hours
D
3.75 hours
4

A customer deposits $500 in an account that pays 4% annual interest. What is the balance after 3 years if the interest is compounded annually?Compound interest formula: t = years since initial depositn = number of times compounded per yearr = annual interest rate (as a decimal)P = initial (principal) investmentV(t) = value of investment after t years

Question illustration
A
$500.12
B
$512.00
C
$560.00
D
$562.43
5

Question text not available

Question illustration
B
Both the domain and range of the transformed function are the same as those of the parent function.
N
Neither the domain nor the range of the transformed function are the same as those of the parent function.
T
The range of the transformed function is the same as the parent function, but the domains of the functions are different.
T
The domain of the transformed function is the same as the parent function, but the ranges of the functions are different.
6

Derek Jeter challenges Albert Pujols to a batting battle. Each will earn 1 point for a hit other than a home run and 4 points for a home run in each round. Which player should you back given the statistics in the table below? Note that home runs are included as hits in the table.Data for Two BattersBatterAt BatsHitsHome RunsJeter4881569Pujols44812526

A
E(Jeter) = 0.38 and E(Pujols) = 0.45, so back Pujols.
B
E(Jeter) = 0.39 and E(Pujols) = 0.51, so back Pujols.
C
E(Jeter) = 0.34 and E(Pujols) = 0.34, so it doesn’t matter who you back.
D
E(Jeter) = 1.22 and E(Pujols) = 0.94, so back Jeter.
7

Question text not available

Question illustration
A
The range of the transformed function and the parent function are both all real numbers greater than or equal to 4.
B
The domain of the transformed function is all real numbers and is, therefore, different from that of the parent function.
C
The range of the transformed function is all real numbers greater than or equal to 0 and is, therefore, different from that of the parent function.
D
The domain of the transformed function and the parent function are both all real numbers.
8

A cable company wants to provide cell phone service for residents on an island. The function for the cost of laying the cable from the island to the mainland is , where x represents the length of the cable in meters. What are the domain and range of the function?

Question illustration
A
domain: all real numbers range: all real numbers greater than or equal to 17,000
B
domain: all real numbers greater than or equal to 0range: all real numbers greater than or equal to 17,000
C
domain: all real numbers greater than or equal to 0range: all real numbers greater than or equal to 13,000
D
domain: all real numbers greater than or equal to 13,000range: all real numbers greater than or equal to 0
9

The graph below is an example of which type of function?

Question illustration
q
quadratic
l
linear
c
cubic
s
square root
10

Which describes the range of the parent absolute value function?

A
{y | y is a real number}
B
{y | y is an integer}
C
{y|y > 0}
D
{y|y < 0}
11

Which graph shows a function with a range of all real numbers greater than or equal to –1?

Question illustration
A
Option
B
Option
C
Option
D
Option
12

Miguel Cabrera has had 369 at bats, and he has 127 hits and 21 home runs. (Note: The home runs are included in the hits data.) If he is challenged to a batting battle, what is the expected score of each at bat if he earns 1 point for each hit that is not a home run and 5 points for each home run?

0
0.36
0
0.43
0
0.57
0
0.63
13

What is the solution, if any, to the inequality ?

Question illustration
A
no solution
B
all real numbers
C
n > 2 or n < 6
D
2 < n < 6
14

The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

Which of the following gives a single solution of the inequality and shows a graph that can be used to determine the entire solution set of the inequality?

Question illustration
A
x = 0
Option A
B
x = –1
Option B
C
x = 2
Option C
D
x = 5
Option D
16

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x + 5)3 − 6. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

(5, −6)
Option
(−5, −6)
Option
(5, 6)
Option
(−5, 6)
Option
17

What values are excluded from the domain and range of the function ?

Question illustration
A
domain: range:
Option A
B
domain: range:
Option B
C
domain: range:
Option C
D
domain: range:
Option D
18

Question text not available

Question illustration
A
all real numbers
B
all real numbers less than or equal to −4
C
all real numbers greater than or equal to 1
D
all real numbers greater than or equal to −4
19

Graph the function y=x3+3x2-1. Based on the graph, what is the least possible x-value if y=0? Round your answer to the nearest hundredth, if necessary.

-2.88
Option
-2.00
Option
-0.65
Option
-0.53
Option
20

What are the domain and range of the function ?

Question illustration
A
domain: all real numbers greater than 1range: all real numbers
B
domain: all real numbersrange: all real numbers greater than 0
C
domain: all real numbersrange: all real numbers greater than 1
D
domain: all real numbers less than 5range: all real numbers greater than 1

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