AnswersAlgebra IIModeling with Functions

Practice Test Answers

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1
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A customer deposits 500 dollars in an account that pays 4 percent annual interest. What is the balance after 3 years if the interest is compounded annually? Compound interest formula: cap v times t is equal to cap p times open paren 1 plus r over n close paren raised to the n t power t = years since initial deposit n = number of times compounded per year r = annual interest rate (as a decimal) cap p = initial (principal) investment cap v times t = value of investment after t years

A
500 point 1 2 dollars
B
512 point 0 0 dollars
C
560 point 0 0 dollars
D
562 point 4 3 dollars
2
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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 open and closed circles are reversed.
B
The two graphs are exactly the same.
C
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.
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 the same.
3

Which statement is true about f of x plus 2 is equal to 1 sixth start absolute value x minus 3 end absolute value ?

A
The graph of f of x is a horizontal compression of the graph of the parent function.
B
The graph of f of x has a vertex of open paren negative 3 comma 2 close paren .
C
The graph of f of x has range of f of x is greater than or equal to negative 2 .
D
The graph of f of x opens downward.
4

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 3 for negative 2 is less than x comma x is less than or equal to 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 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 .
D
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 .
5

Which of the following is the graph of f of x is equal to 3 start absolute value x minus 4 end absolute value plus 1 ?

A
Image with description On a coordinate plane, the scale on the x axis ranges from negative 1 to 9 in increments of 1, and the scale on the y axis ranges from negative 3 to 7 in increments of 1. The V-shaped graph opening upward has a vertex at (4 comma 1) and the graph passes through the points (3 comma 4) and (5 comma 4).
B
Image with description On a Cartesian coordinate system, the x-axis labeled from negative 9 to 1 in increments of 1 and y-axis labeled from negative 7 to 3 in increments of 1. A v shaped curve is plotted. The curve's vertex is at (negative 4 comma 1). From this point, the curve opens downwards, with its left branch passing through (negative 5 comma negative 2) and (negative 6 comma negative 5), and its right branch passing through (negative 3 comma negative 2) and (negative 2 comma negative 5).
C
Image with description On a Cartesian coordinate system, the x-axis labeled from negative 3 to 7 in increments of 1 and y-axis labeled from negative 7 to 3 in increments of 1. A v shaped curve is plotted. The curve's vertex is at (4 comma negative 1). From this point, the curve opens downwards, with its left branch passing through (3 comma negative 4) and (2 comma negative 7), and its right branch passing through (5 comma negative 4) and (6 comma negative 7).
D
Image with description On a Cartesian coordinate system, the x-axis labeled from negative 8 to 2 in increments of 1 and y-axis labeled from negative 3 to 7 in increments of 1. A v shaped curve is plotted. The curve's vertex is at (negative 4 comma negative 1). From this point, the curve opens upwards, with its left branch passing through (negative 5 comma 2) and (negative 6 comma 5), and its right branch passing through (negative 3 comma 2) and (negative 2 comma 5).
6

The equation of the piecewise defined function f of x is shown. What is the value of f of negative 2 ? f of x equals enlarged left-brace first row negative x squared comma x less than negative 2. Second row 3 comma negative 2 less than or equal to x less than 0. Third row 3 x plus 2 comma x greater than or equal to 0.

A
f of negative 2 is equal to 3
B
f of negative 2 is equal to negative 4
C
f of negative 2 is equal to 0
D
f of negative 2 is equal to negative 6
7

A customer deposits 1 dollars comma 000 in an account in which the interest is compounded annually. The table shows the balances in the account at the end of each year. Amount in Account vs. Number of Years Amount in Account, cap A Number of Years After Initial Deposit, t 1 comma 000 0 1 comma 080 1 1 comma 166 point 4 0 2 1 comma 259 point 7 1 3 1 comma 360 point 4 9 4 Which equation best represents the data in the table?

A
cap A is equal to 800 to the t th power
B
cap A is equal to 1000 times 1 point 0 8 to the t th power
C
cap A is equal to 1080 to the t th power
D
cap A is equal to 1000 times 1 point 8 to the t th power
8

If she orders 75 shirts and passes the cost along to the employees, what would each employee owe for the shirt if each pays the same amount? Round to the nearest cent.

A
7 point 5 3 dollars
B
7 point 4 7 dollars
C
7 point 6 6 dollars
D
7 point 4 0 dollars

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