AnswersAlgebra IIMathematical Modeling

Practice Test Answers

16 verified answers1 views
2
Free Preview

What are the values of A , b , and c for a logistic regression model y is equal to the fraction with numerator c and denominator 1 plus A e raised to the negative b x power that represents this population?

A
A is equal to negative 0 point 0 9 , b is equal to 4 point 5 3 , and c is equal to 2 point 8 1
B
A is equal to negative 0 point 0 9 , b is equal to 2 point 8 1 , and c is equal to 4 point 5 3
C
A is equal to 27 point 4 7 , b is equal to 3 point 2 6 , and c is equal to 0 point 3 0
D
A is equal to 3 point 2 6 , b is equal to 0 point 3 0 , and c is equal to 27 point 4 7
3

Which of the following describes the graph of y is equal to lfloor x minus 2 rfloor ?

A
The graph has closed circles on the left of each step and open circles on the right and includes the step y is equal to negative 4 for negative 2 is less than or equal to x comma x is less than negative 1 .
B
The graph has open circles on the left of each step and closed circles on the right and includes the step y is equal to negative 4 for negative 2 is less than or equal to x comma x is less than negative 1 .
C
The graph has open circles on the left of each step and closed circles on the right and includes the step y is equal to negative 3 for negative 2 is less than or equal to x comma x is less than negative 1 .
D
The graph has closed circles on the left of each step and open circles on the right and includes the step y is equal to negative 3 for negative 2 is less than x comma x is less than or equal to negative 1 .
4

Which statement best compares the graphs of f of x is equal to lfloor x rfloor and f of x is equal to lceil x rceil ?

A
The graph of f of x is equal to lceil x rceil is shifted up compared to the graph of f of x is equal to lfloor x rfloor , and the open and closed circles are the same.
B
The open and closed circles are reversed.
C
The two graphs are exactly the same.
D
The graph of f of x is equal to lceil x rceil is shifted up compared to the graph of f of x is equal to lfloor x rfloor , and the open and closed circles are reversed.
5

Which form of an equation was used to model the price of a gallon of milk?

A
y is equal to A plus b x
B
y is equal to A b to the x th power
C
y is equal to A x plus b
D
y is equal to A x squared plus b
8

How can the slope of the line be interpreted?

A
Every additional tomato plant yields an additional 10 point 2 jars of canned tomatoes.
B
Each jar of canned tomatoes requires 10 point 2 tomato plants.
C
Every additional tomato plant yields an additional 0 point 2 6 jars of canned tomatoes.
D
Each jar of canned tomatoes requires 0 point 2 6 tomato plants.
9

What is the range of the graphed function?

A
the union of left parenthesis 4 right bracket and open paren 2 close paren
B
left bracket negative 4 comma infinity right parenthesis
C
the union of left bracket 4 right parenthesis and left bracket 2 right parenthesis
D
left parenthesis negative infinity comma 4 right bracket
10

When using the median-fit method with summary points open paren 10 comma 120 close paren , open paren 15 comma 150 close paren , and open paren 25 comma 200 close paren , what is the equation of the best-fit model?

A
y is equal to 6 point 0 0 x plus 60 point 0 0
B
y is equal to 5 point 9 4 x plus 70 point 0 0
C
y is equal to 5 point 3 3 x plus 67 point 7 8
D
y is equal to 6 point 0 0 x plus 56 point 6 7
11

The graph of y is equal to square root of x is transformed as shown in the graph. Which equation represents the transformed function?

A
y is equal to negative square root of x plus 2
B
y is equal to negative square root of x minus 2
C
y is equal to square root of negative x end root minus 2
D
y is equal to square root of negative x end root plus 2
12

Which statement describes the bond?

A
The bond has an original value of 57 point 5 0 dollars and grows at a rate of 85 percent .
B
The bond had an original value of 50 dollars and grows at a rate of 15 percent .
C
The bond has an original value of 50 dollars and grows at a rate of 85 percent .
D
The bond has an original value of 57 point 7 0 dollars and grows at a rate of 15 percent .
13

What are the domain and range of the function?

A
domain: open paren negative 4 comma 0 close paren range: open paren negative 2 comma infinity close paren
B
domain: open paren negative infinity comma infinity close paren range: left bracket negative 2 comma infinity right parenthesis
C
domain: open paren negative 2 comma infinity close paren range: open paren negative infinity comma infinity close paren
D
domain: open paren negative 3 comma 0 close paren range: left bracket negative 2 comma infinity right parenthesis
14

Which description best fits the regression model for the data?

A
logarithmic model; y is equal to 9 point 9 8 minus 3 point 8 5 ln x
B
quadratic model; y is equal to 0 point 1 3 x squared minus 2 point 3 8 x plus 12 point 2 7
C
exponential model; y is equal to 12 point 8 0 times 0 point 7 8 to the x th power
D
power model; y is equal to 10 point 1 5 x raised to the negative 0 point 6 8 power
15

The graph is an example of which type of function?

A
square root
B
quadratic
C
cubic
D
linear
16

What are the domain and range of the function f of x is equal to 5 raised to the x minus 3 power plus 1 ?

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

Did you find these answers helpful?