Answers2026-2027_MDCPS_1200330_Algebra 2_FYComparing Characteristics of Functions

Comparing Characteristics of Functions Answers

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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.
2
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Which function has the greatest maximum range value?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

Consider the function.

Question illustration
A
Option
Option A
B
Option
Option B
C
f(x) = 2 |x + 2|
D
f(x) = |x – 4|
5

Which function has a range limited to only negative numbers?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Which functions have a y-intercept that is greater than the y-intercept of the function g(x) = |x + 3| + 4? Check three options.f(x) = –2 (x – 8)2h(x) = –5 |x| + 10j(x) = –4(x + 2)2 + 8

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A
f(x) = –2 (x – 8)2
B
h(x) = –5 |x| + 10
C
j(x) = –4(x + 2)2 + 8
D
Option
Option D
E
Option
Option E
7

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.
8

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.
9

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.
10

Which function has the greatest x-intercept?

A
f(x) = 3x – 9
B
g(x) = |x + 3|
C
h(x) = 2x – 16
D
j(x) = –5(x – 2)2

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