Answers2026-2027_MDCPS_1200330_Algebra 2_FYComparing Characteristics of Functions

Comparing Characteristics of Functions Answers

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21
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Which statements accurately compare the functions on the graph? Select two options.

A
The square root and quadratic function share a y-intercept.
B
The square root and absolute value function share an x-intercept.
C
The range of the square root and quadratic function are the same.
D
The range of the square root and absolute value function are the same.
E
The quadratic function and the absolute value function have a minimum while the square root function has a maximum.
22
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Consider the y-intercepts of the functions. g(x) = (x – 2)2 The y-coordinate of the greatest y­-intercept is .

Answer not available
23

Which function has the greatest maximum range value?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
24

Which statements can be used to compare the characteristics of the functions? Select two options.

A
f(x) has an all negative domain.
B
g(x) has the greatest maximum value.
C
All three functions share the same range.
D
h(x) has a range of all negative numbers.
E
All three functions share the same domain.
25

Two different functions are shown.Function A:Function B:

Question illustration
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.
26

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.

Question illustration
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.
27

Two different functions are shown.Function A:Function B: y = (x + 3)2 + 5

Question illustration
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.
28

Which statements can be used to compare the functions? Select two options.

A
Only f(x) has an x-intercept.
B
g(x) has the greatest maximum.
C
All three functions have a y-intercept.
D
All three functions have the same range values.
E
All three functions have the same domain values.
29

Consider the function.

Question illustration
A
Option
Option A
B
Option
Option B
C
f(x) = 2 |x + 2|
D
f(x) = |x – 4|

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