AnswersOK-Algebra I - Sem A-CR-35011AUsing Technology to Help Analyze a Function

Using Technology to Help Analyze a Function — Unit test Answers

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1
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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
2
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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
3

The graph of y = x(x + 2)(x – 4) is shown.

Question illustration
A
An x-intercept of the graph is (2, 0).
B
The graph has no y-intercepts.
C
A y-intercept of the graph is (4, 0).
D
The graph has three x-intercepts.
4

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
5

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.
6

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
7

A 2-column table with 10 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4, 5. The second column is labeled f of x with entries 105, 0, negative 15, 0, 9, 0, negative 15, 0, 105, 384.

Question illustration
A
(0, 9)
B
(4, 105)
C
(–1, 0)
D
(2, –15)
8

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.
9

On a coordinate plane, a curved line with minimum values of (negative 0.44, negative 4.3) and (3, negative 4), and a maximum value of (1.7, 0.7), crosses the x-axis at (negative 2.5, 0), (1.3, 0), (2, 0), and (3.44, 0), and crosses the y-axis at (0, negative 4).

Question illustration
A
[–4, –2.5]
B
[–2, –1]
C
[1, 2]
D
[2.5, 4]
10

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
11

When graphing y = 2x2 + 35x + 75, which viewing window would allow you to see all of the intercepts and the minimum as closely as possible?

A
the x-axis from –20 to 5, and the y-axis from –80 to 80
B
the x-axis from –80 to 80, and the y-axis from –20 to 5
C
the x-axis from –5 to 20, and the y-axis from –80 to 80
D
the x-axis from –80 to 80, and the y-axis from –5 to 20
12

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
13

When graphing y = x2 – 14x + 24 and y = 20 – |x + 3|, which value would be the best minimum x- and minimum y-values for the viewing window so that all intercepts, minimums, maximums, and points of intersection are able to be seen as closely as possible?

A
–50
B
–45
C
–25
D
–20
14

A ball is thrown straight up into the air. The table shows the data collected over t seconds, where h(t) is the height of the ball, in feet.

Question illustration
A
The initial height of the ball is 96 feet.
B
The ball will hit the ground between 2 and 3 seconds after it was thrown.
C
The maximum height of the ball must be 96 feet.
D
The maximum height of the ball was reached 2.5 seconds after it was thrown.
15

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

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