Comparing Characteristics of Functions Answers
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Employees at a manufacturing plant have seen production rates change by approximately 105% annually. In contrast, the graph shows the change in the average annual wages of the employees.
A
The annual changes cannot be compared because the initial production value is unknown.B
The annual change in production has exceeded the annual change in the average salary.C
The annual change in production increases at a slower rate, 5% per year, than the annual increase in the average salary, $500 per year.D
The annual change in production increases at a slower rate, 105% per year, than the annual increase in average salary, $500 per year.2
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Two different functions are shown.Function A:Function B: y = (x + 3)2 + 5
A
The minimum of function A occurs 1 unit higher than the minimum of function B.B
The minimum of function A occurs 3 units higher than the minimum of function B.C
The minimum of function A occurs 5 units lower than the minimum of function B.D
The minimum of function A occurs 7 units lower than the minimum of function B.3
The tables show functions representing the growth of two types of bacteria on certain days within an experiment that lasted a total of 10 days.
A
Since x-intercepts indicate the amount of each bacteria at the start of the experiment, there was more of bacteria B than bacteria A at the start.B
Since y-intercepts indicate the amount of each bacteria at the start of the experiment, there was more of bacteria B than bacteria A at the start.C
Since the maximum value in the table for bacteria A is greater than the maximum value in the table for bacteria B, bacteria A has a faster growth rate than bacteria B.D
Since the minimum value in the table for bacteria A is less than the minimum value in the table for bacteria B, bacteria A has a slower growth rate than bacteria B.4
Which function has a range limited to only negative numbers?
A
Option
B
Option
C
Option
D
Option
5
Which function has exactly one x- and y-intercept?
A
Option
B
Option
C
Option
D
Option
6
Consider the function.
A
Option
B
Option
C
f(x) = 2 |x + 2|D
f(x) = |x – 4|7
Two different functions are shown.Function A:Function B:
A
The x-intercept in function B is one-third as large as the x-intercept in function A.B
The x-intercept in function B is three times as large as the x-intercept in function A.C
The distance between the x-intercepts in function A is half the distance between the x-intercepts of function B.D
The distance between the x-intercepts in function A is twice the distance between the x-intercepts of function B.8
Which function has the greatest maximum range value?
A
Option
B
Option
C
Option
D
Option
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