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Self-test Questions
Additional Exercises
Quantitative Methods for Business & Management
Frank Dewhurst, UMIST, UK
Non-linear and multivariate models
Self-test Questions
1
A quadratic function has the form
(1.0K)
A)
TRUE
B)
FALSE
2
If a quadratic function has no real roots then it does not cross the ________ axis
A)
vertical
B)
equatorial
C)
horizontal
D)
centrifugal
E)
y-
3
At which point does the function
(1.0K)
cross the horizontal (x) axis?
A)
At the origin
B)
At x = 0.5 and x = 1
C)
At x = 1 and x = 2
D)
At x = 2 and x = 4
E)
At x = 4 and x = 8
4
The point where a function crosses the vertical axis is called a
A)
cusp
B)
root
C)
turning point
D)
intercept
E)
coefficient
5
A quartic function has up to 4 coefficients
A)
TRUE
B)
FALSE
6
What is the general form for a quadratic function?
A)
y = a + bx
B)
(1.0K)
C)
(1.0K)
D)
(1.0K)
E)
(1.0K)
7
Points that hyperbolic functions approach points but never actually reach are called:
A)
roots
B)
logarithms
C)
matrices
D)
hyperbolae
E)
asymptotes
8
What sort of equation might best describe a firm’s average function if its total cost function is linear?
A)
Cost = (a / x) + b
B)
Cost = ax
C)
Cost = x(ax - 1)
D)
(1.0K)
E)
Cost = x / a
9
The general form of a hyperbolic function is y = a + b (x + c)
A)
TRUE
B)
FALSE
10
The function
(1.0K)
is an example of an simple exponential function.
A)
TRUE
B)
FALSE
11
What features does a simple exponential function
(0.0K)
have if a is less than 0?
A)
It is constant.
B)
It has asymptotes.
C)
It has oscillations.
D)
It is a hyperbola.
E)
It has oscillations and an asymptote.
12
The simple exponential function
(1.0K)
________ as x is positive and gets bigger?
A)
approaches an asymptote
B)
oscillates
C)
grows more and more quickly
D)
decreases more and more quickly
E)
is constant
13
What is the interpretation of the coefficient
(0.0K)
in the multivariate function
(1.0K)
?
A)
The value of y when
(0.0K)
and
(0.0K)
are set at zero.
B)
The root of the function when
(0.0K)
C)
The asymptote for
(0.0K)
when
(0.0K)
and
(0.0K)
get bigger
D)
The slope of a flat surface in the direction of the
(0.0K)
axis
E)
The intercept when
(1.0K)
14
A multivariate function describes the relationship between one dependent and more than one independent variable.
A)
TRUE
B)
FALSE
15
A point where a multivariate function is at a maximum for some variables and at a minimum for others is called a:
A)
Multiple root
B)
Minimax point
C)
Flat point
D)
Local maximum
E)
Saddle point
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