AnswersHHI ONLY Algebra I A 1500XXEvaluating Functions

Evaluating Functions — Unit test Answers

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A sequence is defined recursively by the formula f(n + 1) = –2f(n). The first term of the sequence is –1.5. What is the next term in the sequence?

A
–3.5
B
–3
C
0.5
D
3
2
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A frozen yogurt shop offers a rewards system for frequent customers. The graph below represents how much a rewards customer pays based on the number of ounces of frozen yogurt purchased.

Question illustration
A
A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
B
A rewards customer pays $5 per ounce because the total amount paid is always increasing.
C
A rewards customer pays $20 for 10 or 12 ounces of yogurt because the total amount paid is increasing.
D
A rewards customer earns 5 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
3

The function f(x) is shown on the graph.

Question illustration
A
0 only
B
–6 only
C
–2, 1, or 3 only
D
–6, –2, 1, or 3 only
4

The price of grapes at the grocery store is $1.44 per pound. There are approximately 0.45 kilograms in a pound. To the nearest cent, what is the price of grapes in dollars per kilogram?

A
$0.65 per kilogram
B
$0.99 per kilogram
C
$1.89 per kilogram
D
$3.20 per kilogram
5

Consider the function represented by the equation x – y = 3. What is the equation written in function notation, with x as the independent variable?

A
f(x) = y + 3
B
f(x) = –y – 3
C
f(x) = –x + 3
D
f(x) = x – 3
6

Which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then decreases its speed, as time increases?

A
A graph with time (minutes) on the horizontal axis and speed (miles per minute) on the vertical axis. Both axes are unnumbered. The speed begins at 0, goes up at first, is steady for a while, and then goes down over time.
Option A
B
A graph with time (minutes) on the horizontal axis and speed (miles per minute) on the vertical axis. Both axes are unnumbered. The speed begins in the middle of the vertical axis, goes down at first, is steady for a while, and then goes up over time.
Option B
C
A graph with time (minutes) on the horizontal axis and speed (miles per minute) on the vertical axis. Both axes are unnumbered. The speed begins at 0, goes up at first, goes down for a while, and then is steady over time.
Option C
D
A graph with time (minutes) on the horizontal axis and speed (miles per minute) on the vertical axis. Both axes are unnumbered. The speed begins in the middle of the vertical axis, goes down at first, goes up for a while, and then is steady over time.
Option D
7

Consider the function represented by the graph.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

A family uses 12,986.64 Swiss francs per year to pay a mortgage that requires US dollars. Approximately how much, in US dollars, does the family spend per month on the mortgage?1 US dollar = 0.9019 Swiss francs1 Swiss franc = 1.11 US dollar

A
$975
B
$1,080
C
$1,200
D
$1,440
9

A sequence is defined by the recursive function f(n + 1) = f(n) – 2.

A
1
B
6
C
8
D
30
10

The function f(x) is shown on the graph.

Question illustration
A
0 only
B
–6 only
C
–2, –1, 1, and 3 only
D
–6, –2, –1, 1, and 3 only
12

What is the inverse of the function f(x) = x +3?

A
h(x) = x + 3
Option A
B
h(x) = x – 3
Option B
C
h(x) = x – 3
D
h(x) = x + 3
13

On a coordinate plane, solid circles appear at the following points: (negative 3, negative 3), (negative 3, 2), (1, 1), (2, negative 2), (3, 4), (4, negative 2).

Question illustration
A
(4, –2)
B
(–3, 2)
C
(3, 4)
D
(1, 1)
14

The graph represents a mechanic’s labor costs for a given number of hours of car repair.

Question illustration
A
All repairs requiring 1 hour or less have the same labor cost.
B
Labor costs the same no matter how many hours are used for a repair.
C
Labor costs for a repair are less expensive as the number of hours increases.
D
There is no cost of labor for a repair requiring less than 1 hour.
15

The table shows ordered pairs of the function y = 16 + 0.5x .

Question illustration
A
(0, 18)
B
(5, 19.5)
C
(8, 20)
D
(10, 21.5)
16

Eli left his house one afternoon to study at the library. The graph shows his distance, in miles, away from his house as a function of time, in minutes.

Question illustration
A
Eli arrived at the library.
B
Eli rode his bicycle home from the library.
C
Eli rode his bicycle to the store, getting farther away from his house.
D
Eli continued to study at the library for 13 more minutes.
17

Why is the product of a rational number and an irrational number irrational?

A
because the product is always a non-terminating, non-repeating decimal
B
because the product is always a fraction
C
because the product is always a negative number
D
because the product is always a repeating or a terminating decimal
18

Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per minute?

A
0.25 miles per minute
B
0.09 miles per minute
C
4 miles per minute
D
11 miles per minute
19

On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function to convert this temperature from degrees Fahrenheit to degrees Celsius. What does C(76.1) represent?

Question illustration
A
the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius
B
the temperature of 76.1 degrees Celsius converted to degrees Fahrenheit
C
the amount of time it takes a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius
D
the amount of time it takes a temperature of 76.1 degrees Celsius to be converted to 32 degrees Fahrenheit
20

On a coordinate plane, solid circles appear at the following points: (negative 5, negative 3), (negative 4, negative 4), (negative 2, 2), (1, 3), (1, negative 2), (2, 1), (5, negative 4).

Question illustration
A
(–2, 2)
B
(1, 3)
C
(5, –4)
D
(–4, –4)

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Evaluating Functions — Unit test Answers — HHI…