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Jacket
Quantitative Methods for Business & Management
Frank Dewhurst, UMIST, UK

Non-linear and multivariate models

Self-test Questions



1

A quadratic function has the form <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0077098056/70736/ch10q01eq01.GIF','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
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 <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0077098056/70736/ch10q01eq02.GIF','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a> 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)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0077098056/70736/ch10q06eq01.GIF','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
C)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0077098056/70736/ch10q06eq02.GIF','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
D)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0077098056/70736/ch10q06eq03.GIF','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
E)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0077098056/70736/ch10q06eq04.GIF','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
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)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0077098056/70736/ch10q08eq01.GIF','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
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 <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0077098056/70736/ch10q10eq01.GIF','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a> is an example of an simple exponential function.
A)TRUE
B)FALSE
11

What features does a simple exponential function <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0077098056/70736/ch10q11eq01.GIF','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> 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 <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0077098056/70736/ch10q12eq01.GIF','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a> ________ 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 <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0077098056/70736/ch10q13eq01.GIF','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> in the multivariate function <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0077098056/70736/ch10q13eq02.GIF','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a> ?
A)The value of y when <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0077098056/70736/ch10q13eq03.GIF','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> and <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0077098056/70736/ch10q13eq04.GIF','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> are set at zero.
B)The root of the function when <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0077098056/70736/ch10q13eq05.GIF','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>
C)The asymptote for <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0077098056/70736/ch10q13eq04.GIF','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> when <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0077098056/70736/ch10q13eq03.GIF','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> and <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0077098056/70736/ch10q13eq06.GIF','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> get bigger
D)The slope of a flat surface in the direction of the <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0077098056/70736/ch10q13eq04.GIF','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> axis
E)The intercept when <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0077098056/70736/ch10q13eq07.GIF','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
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