Comparing Characteristics of Functions Answers

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1
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Which statements accurately compare the different functions? Check all that apply.

A
The quadratic and absolute value functions share a y-intercept.
B
The square root and quadratic function share an x-intercept.
C
The absolute value and square root functions share the same domain.
D
The square root function does not have a y-intercept.
E
The square root function has a minimum domain value, while the other two functions have a minimum range value.
2
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Use the drop-down menus to complete each statement.

Answers:
x-intercepts exist in the function(s) .:f(x), g(x), and h(x)
y-intercepts exist in the function(s) .:f(x), g(x), and h(x)
The function has the lowest minimum.:h(x)
The function has the greatest maximum.:f(x)
3

Which statement best compares the domain and range of , g(x) = x3, and h(x) = x?

Question illustration
A
The domain and range of all three functions are all reals.
B
The domain and range of g(x) and h(x) are all reals. The domain and range of f(x) do not include 0.
C
The domain and range of f(x) and h(x) are all reals. The domain and range of g(x) do not include 0.
D
The domain of all three functions is all reals. The range of f(x) and h(x) is all reals, while the range of g(x) contains all reals greater than or equal to 0.
5

Which statement describes the relationship between the minimums of the functions?

A
The minimum of h(x) is farther left and up than the minimum of f(x) and g(x).
B
The minimum of g(x) is in the fourth quadrant. The minimum of h(x) is in the first quadrant.
C
The minimum of g(x) is farther right and down than the minimum of f(x) and h(x).
D
The minimum of g(x) is in the second quadrant. The minimum of h(x) is in the first quadrant.

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