AnswersJHS-Algebra 1A full yearGraphing on the Coordinate Plane

Introduction to Functions Answers

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A company has determined that its weekly profit is a function of the number of items that it sells. Which equation could represent the weekly profit in thousands of dollars, y, when the company sells x items?

A
y squared = 4 x squared minus 100
Option A
B
y = negative x squared + 50 x minus 300
Option B
C
x = negative y squared minus 400
Option C
D
x squared = negative 6 y squared + 200
Option D
2
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Lorraine writes the equation shown.She wants to describe the equation using the term relation and the term function.The equation represents

Question illustration
A
a relation and a function
B
a relation but not a function
C
a function but not a relation
D
neither a relation nor a function
3

Removing which ordered pair from the table would make the relation a function of x? xy1747224139

A
(1, 7)
B
(2, 2)
C
(3, 9)
D
(4, 1)
4

The graph below displays the wrist circumferences and heights of six students in Alyssa’s classroom. Is the height of these students a function of their wrist circumference?

Question illustration
A
Yes because as wrist circumference increases height also increases.
B
Yes because a line can be fit to these data to predict other pairings.
C
No because the height of 151 cm is paired with two wrist circumferences.
D
No because the wrist circumference of 16 cm is paired with two heights.
5

The chart below lists the original and sale prices of items at a clothing store.Clothing PricesOriginal priceSale price$7.99$5.59$10.99$7.69$12.99$9.09$15.99$11.19$24.99$17.49$29.99$20.99Which statement best describes why the sale price is a function of the original price?

A
As the original price increases, the sale price also increases.
B
The sale price is always less than the original price.
C
For every original price, there is exactly one sale price.
D
The sales price is never less than zero.
6

Asha found that a vertical line intersects the graph of at two points. What can Asha conclude about ?

Question illustration
A
The graph passes the vertical line test and is a function.
B
The graph is not a function because it fails the vertical line test.
C
The graph shows a straight-line relationship between x and y.
D
The graph curves in a U-shape and always opens upward.
7

If the relationships below are given in the form (input, output), which pairing always describes a function?

A
(number of doors in a car, number of cup holders in the car)
B
(height of a building in feet, height of the building in inches)
C
(beverage charge on a bill, total meal charge on the bill)
D
(distance from home during a trip, time elapsed during the trip)
8

Which statement is a correct interpretation of the vertical line test?

A
If only one vertical line intersects the graph at exactly one point, the graph represents a function.
B
If only one vertical line intersects the graph at exactly one point, the graph does not represent a function.
C
If any vertical line can intersect the graph at more than one point, the graph represents a function.
D
If any vertical line can intersect the graph at more than one point, the graph does not represent a function.
9

The temperature in degrees Celsius, c, can be converted to degrees Fahrenheit, f, using the equation . Which statement best describes if the relation (c, f) is a function?

Question illustration
A
It is a function because –40°C is paired with –40°F.
B
It is a function because every Celsius temperature is associated with only one Fahrenheit temperature.
C
It is not a function because 0°C is not paired with 0°F.
D
It is not a function because some Celsius temperatures cannot be associated with a Fahrenheit temperature.
10

Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?

Question illustration
A
The graph is not a function of x because the line x = 0 intersects the graph at two points.
B
The graph is a function of x because the line x = 5 does not intersect the graph.
C
The graph is not a function of x because the line y = 0 intersects the graph at two points.
D
The graph is a function of x because the line y = 5 does not intersect the graph.

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