Answers FL-1200700-Mathematics for College Algebra MISRadical Equations and Extraneous Roots

Radical Equations and Extraneous Roots — Unit test Answers

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On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 10).

g(x) = |x – 4| – 10

g(x) = |x + 4| – 10

g(x) = |x – 10| + 4

g(x) = |x + 10| – 4

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The graph of the parent function f(x) = x3 is transformed such that . Which statements about the graph of g(x) are accurate? Select three options.

The graph does not pass through the origin.

As x approaches negative infinity, the graph of g(x) approaches infinity.

As x approaches infinity, the graph of g(x) approaches infinity.

The domain of the function is all real numbers.

The range of the function is all real numbers.

What are the domain and range of the function ?

domain: range:

domain: range: (0,)

domain: range:

domain: range:

Which statements correctly describe the graph of the function f(x) = x3 – 4x2 – 3x + 18? Select three options.

There are three unique solutions to the function when y=0.

The function has a double root.

As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.

As x approaches negative infinity, y approaches positive infinity.

The domain and range of the function are the set of real numbers.

Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?

x = –1, x = 11

x = –1, x = –11

x = 14, x = –26

x = 26, x = –14

Question text not available

f(x) = –|x| + 1

f(x) = –|x – 1|

f(x) = |–x| + 1

f(x) = |–x – 1|

Question text not available

f(x) = 1.3|x| – 2

f(x) = 3|x – 2|

f(x) = |x – 2|

f(x) = |x| + 2

The parent function f(x) = x3 and a translation, g(x), are shown on the graph.

g(x) = (x + 4)3 + 6

g(x) = (x – 4)3 + 6

g(x) = (x + 6)3 – 4

g(x) = (x – 6)3 – 4

A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys, n (in millions), being produced in t years?

n = 1.5 t squared + 1.25

n = 1.5 t + 1.25

n = 1.25 times 2.5 Superscript t

The graph of f(x) = x3 + x2 – 9x – 9 is shown.

x = –1, 3

x = –3, –1

x = –3, –1, 3

x = –9, –3, –1, 3

Given the function f(x) = 0.5|x – 4| – 3, for what values of x is f(x) = 7?

x = –24, x = 16

x = –16, x = 24

x = –1, x = 9

x = 1, x = –9

What are the domain and range of f(x) = 2|x – 4|?

domain: x 2; range:

domain: ; range: f(x) 0

domain: x 2; range:

On any given day, the number of users, u, that access a certain website can be represented by the inequality . Which of the following represents the range of users that access the website each day?

mc026-4.jpg

mc026-7.jpg

The graph of f(x) = x3 − 7x − 6 is shown.

x = −6

x = −2, −1

x = −2, −1, 3

x = −6, −2, −1, 3

The height of a toy rocket that is shot in the air with an upward velocity of 48 feet per second can be modeled by the function , where t is the time in seconds since the rocket was shot and f(t) is the rocket’s height in feet. What is the maximum height the rocket reaches?

16 ft

36 ft

48 ft

144 ft

The absolute value function, f(x) = |x + 2|, is shown.

all real numbers

all real numbers greater than or equal to 0

all real numbers greater than or equal to –2

all real numbers less than or equal to –2

On a coordinate plane, an absolute value graph has a vertex at (negative 1.5, negative 3.5).

h = –3.5

h = –1.5

h = 1.5

h = 3.5

The graph of f(x) = |x| is translated 6 units to the right and 2 units up to form a new function. Which statement about the range of both functions is true?

The range is the same for both functions: {y | y is a real number}.

The range is the same for both functions: {y | y > 0}.

The range changes from {y | y > 0} to {y | y > 2}.

The range changes from {y | y > 0} to {y | y > 6}.

Which function is a translation of the parent absolute value function?

f(x) =