Step Functions — Cumulative exam Answers

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A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square prism.

Question illustration
A
the prism because it has approximately 11.6 in.3 less wasted space than the cylinder.
B
the prism because it has approximately 14.1 in.3 less wasted space than the cylinder.
C
the cylinder because it has approximately 11.6 in.3 less wasted space than the prism.
D
the cylinder because it has approximately 14.1 in.3 less wasted space than the prism.
24

The right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triangle is 58 units.

Question illustration
A
a cone with a base radius of 17 units
B
a cone with a base radius of 34 units
C
a cylinder with a base radius of 17 units
D
a cylinder with a base radius of 34 units
25

Which shape could be thought of as being created by stacking congruent polygons?

A
cone
B
rectangular prism
C
square pyramid
D
triangular pyramid
27

Consider the functions f(x) = 3x2, , and h(x) = 3x.Which statements accurately compare the domain and range of the functions? Select two options.All of the functions have a unique range.The range of all three functions is all real numbers.The domain of all three functions is all real numbers.The range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.The domain of f(x) and h(x) is all real numbers, but the domain of g(x) is all real numbers except 0.

Question illustration
A
All of the functions have a unique range.
B
The range of all three functions is all real numbers.
C
The domain of all three functions is all real numbers.
D
The range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.
E
The domain of f(x) and h(x) is all real numbers, but the domain of g(x) is all real numbers except 0.
28

The tables show functions representing the path of two rockets launched by different science lab groups.

Question illustration
A
Since the maximums occurred at the same x-value, the rockets followed the same path.
B
Since the x-intercepts are the same for both functions, the rockets followed the same path.
C
The rockets were in the air for the same amount of time, but the rocket for group B went higher in the air.
D
The rockets traveled the same height in the air, but the rocket for group B was in the air for a longer time.

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