Comparing Characteristics of Functions Answers
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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).2
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Two different functions are shown.Function A:Function B:
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.3
Two different functions are represented.
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.4
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.5
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)26
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.
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.7
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.8
Which function has a domain and range that includes all real values?
A
Option
B
Option
C
Option
D
Option
9
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.10
Which function has a range limited to only negative numbers?
A
Option
B
Option
C
Option
D
Option
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