Comparing Characteristics of Functions Answers
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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.2
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Which function has exactly one x- and y-intercept?
A
Option
B
Option
C
Option
D
Option
3
Which function has a domain and range that includes all real values?
A
Option
B
Option
C
Option
D
Option
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 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.6
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.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
Consider the function.
A
Option
B
Option
C
f(x) = 2 |x + 2|D
f(x) = |x – 4|9
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.10
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.Did you find these answers helpful?
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