Answers2026-2027_MDCPS_1200330_Algebra 2_FYComparing Characteristics of Functions

Comparing Characteristics of Functions Answers

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1
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Consider the function.

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

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.

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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.
6

Two different functions are represented.

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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.

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