AnswersFinancial MathModeling with Functions

Modeling with Functions — Quiz Answers

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What function has a domain with a restriction of x≥−3 ?

A
y is equal to square root of x plus 3 end root
B
y is equal to square root of x plus 3
C
y is equal to square root of x minus 3 end root
D
y is equal to square root of x minus 3
3

When calculating the speed of a vehicle depending on the distance it takes to stop, which statement supports that the relationships can be represented by a square root function?

A
There is an excluded value when the distance is 0.
B
There will be an asymptote as the distance approaches infinity.
C
The range has no restrictions.
D
The domain is the distance and must be positive.
4

Which statement is true about all cubic functions?

A
The domain is restricted by the sign of the coefficient A.
B
There is at least one x-intercept.
C
The end behavior of the function is determined by the sign of the constant c.
D
The range is restricted to positive real numbers.
5

Which answer describes the domain of all cubic functions?

A
all real numbers
B
only negative real numbers
C
all real numbers except zero
D
only positive real numbers
6

If the growth of a bacterial population can be represented by a cubic function, which describes how the population grows?

A
inversely proportional slowing down as time increases
B
accelerating more rapidly over time
C
doubling in size after a fixed amout of time
D
constantly over time
7

The graph of a square root function is transformed according to the formula y=a⁢sqrt(x−h)+k , where h represents the horizontal shift and k represents the vertical shift. If the function is moved to the right and down, which are possible values for h and k ?

A
h is equal to negative 5 and k is equal to 0
B
h is equal to 2 and k is equal to negative 4
C
h is equal to 2 and k is equal to 3
D
h is equal to negative 5 and k is equal to negative 4
8

What is the equation for the vertical asymptote of the function y=(x−6)/(x+7) ?

A
y is equal to negative 7
B
y is equal to 6
C
x is equal to 6
D
x is equal to negative 7
9

Which function has a range with a restriction of y≥1 ?

A
y is equal to square root of x minus 1
B
y is equal to square root of x plus 1 end root
C
y is equal to square root of x plus 1
D
y is equal to square root of x minus 1 end root

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