Unit Test — Unit test Answers

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A graph titled Calories in Strawberries. The x-axis shows the number of strawberries, numbered 1 to 9, and the y-axis shows the number of calories, numbered 3 to 27. A straight line with a positive slope begins at point (0, 0) and ends at point (6.8, 27).

Question illustration
A
Each strawberry contains 4 calories.
B
Each strawberry contains 3 calories.
C
Twenty-four strawberries contain 6 calories.
D
Four strawberries contain 15 calories.
2
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If the function has an inverse function, which statement must be true?

Question illustration
A
b not-equals 0
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

The graph shows the relationship between the total amount of money that Carly will have left, y, if she buys x packs of baseball cards.

Question illustration
A
$16
B
$18
C
$19
D
$20
4

Which graph represents the same relation as the set ?

Question illustration
A
A coordinate plane has 3 points. The points are (negative 3, 2), (3, negative 2), (5, 5).
Option A
B
A coordinate plane has 4 points. The points are (negative 3, 2), (3, negative 2), (3, 3), (5, 5).
Option B
C
A coordinate plane has 7 points. The points are (negative 3, 0), (0, 5), (0, 3), (0, 2), (0, negative 2), (3, 0), (5, 0).
Option C
D
A coordinate plane has 4 points. The points are (negative 2, 3), (2, negative 3), (3, 3), (5, 5).
Option D
5

The graph below shows the total cost for lunch, c, when Will and his friends buy a large salad to share and several slices of pizza, p.

Question illustration
A
$1.50
B
$2.00
C
$2.50
D
$3.00
6

If and , what is the degree of ?

Question illustration
A
2
B
3
C
5
D
6
7

If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of ?

Question illustration
A
all real values of x
B
all real values of x except x = 5
C
all real values of x except x = –5
D
all real values of x except x = 5 and x = –5
8

The graph of f(x) is shown below.If g(x) and f(x) are inverse functions, which graph represents g(x)?

Question illustration
A
On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up sharply through (2, 4).
Option A
B
On a coordinate plane, a curve opens down and to the left in quadrant 2. The curve starts at (0, 0) and gradually curves through (negative 4, 2).
Option B
C
On a coordinate plane, a curve opens open and to the left in quadrant 3. The curve starts at (0, 0) and curves gradually through (negative 4, negative 2).
Option C
D
On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up through (4, 1).
Option D
9

What is the domain of the relation graphed below?

Question illustration
A
domain:
Option A
B
domain:
Option B
C
domain:
Option C
D
domain:
Option D
10

A graph titled Cost of Erasers. The x-axis shows the number of erasers, numbered 1 to 9, and the y-axis shows the total cost in dollars, numbered 0.5 to 4.5. Blue diamonds appear at points (1, 0.5), (2, 1), (3, 1.5), (4, 2), (5, 2.5), (6, 3), (7, 3.5), (8, 4), (9, 4.5).

Question illustration
A
Each eraser costs $1.00.
B
Each eraser costs $1.50.
C
Three erasers cost $6.
D
Seven erasers cost $3.50.
11

The tables for f(x) and g(x) are shown below.xf(x)–5–11–21113529xg(x)–5–7–2–115513What is the value of (f – g)(5)?

A
–18
B
–4
C
16
D
42
12

The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by k(x) = 9x – 2. Which expression represents the profit, (k – h)(x), of producing soccer balls?

A
14x – 8
B
14x + 4
C
4x – 8
D
4x + 4
13

Which statement verifies that f(x) and g(x) are inverses of each other?

A
Option
Option A
B
and
Option B
C
Option
Option C
D
and
Option D
14

If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?

A
5(4 + 4) – 6
B
5(5(4) – 6) – 6
C
54 – 6 + 54 – 6
D
5(4) – 6 + 5(4) – 6
15

For what value of is the function one-to-one?

Question illustration
A
2
B
5
C
11
D
13

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