Answers2026-2027_MDCPS_1200330_Algebra 2_FYComparing Characteristics of Functions

Comparing Characteristics of Functions Answers

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1
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Which characteristics do the functions have in common? Select three options.

A
range
B
domain
C
maximum
D
x-intercept
E
y-intercept
2
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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.

Question illustration
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.
3

The tables show linear functions representing the estimated time it takes for the math and language arts portions of standardized tests with different numbers of questions.

Question illustration
A
The math function has the greater slope, which shows that the estimated time per question for math is less than the estimated time per question for language arts.
B
The math function has the greater slope, which shows that the estimated time per question for math is greater than the estimated time per question for language arts.
C
The language arts function has the greater slope, which shows that the estimated time per question for language arts is less than the estimated time per question for math.
D
The language arts function has the greater slope, which shows that the estimated time per question for language arts is greater than the estimated time per question for math.
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 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
6

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.
7

Which statements comparing the functions are true? Select three options.

A
Only f(x) and h(x) have y-intercepts.
B
Only f(x) and h(x) have x-intercepts.
C
The minimum of h(x) is less than the other minimums.
D
The range of h(x) has more values than the other ranges.
E
The maximum of g(x) is greater than the other maximums.
8

Consider the functions.

Question illustration
A
The minimums of g(x) and h(x) are both in the first quadrant.
B
The minimums of g(x) and h(x) are both in the third quadrant.
C
The minimum of h(x) is farther right and up from the minimums of f(x) and g(x).
D
The minimum of h(x) is farther left and down from the minimums of f(x) and g(x).
9

Two different functions are represented.

Question illustration
A
Neither function A nor function B has an x-intercept.
B
Neither function A nor function B has a y-intercept.
C
The domain and range of both functions contain only positive numbers.
D
The domain and range of both functions contain only positive numbers and zero.
10

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.

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