Comparing Characteristics of Functions Answers
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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.
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.2
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Which function has the greatest x-intercept?
A
f(x) = 3x – 9B
g(x) = |x + 3|C
h(x) = 2x – 16D
j(x) = –5(x – 2)23
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.4
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.5
Which function has a domain and range that includes all real values?
A
Option
B
Option
C
Option
D
Option
7
Two different functions are shown.Function A:Function B: y = (x + 3)2 + 5
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.8
Which function has exactly one x- and y-intercept?
A
Option
B
Option
C
Option
D
Option
9
Which characteristics do the functions have in common? Select three options.
A
rangeB
domainC
maximumD
x-interceptE
y-intercept10
Consider the functions.
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).Did you find these answers helpful?
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