Comparing Characteristics of Functions Answers

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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).
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.

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.
5

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.
6

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.
7

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.
8

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
9

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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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