2 / 2 pts
Question 7
The graphs of two functions $f(x)$ and $g(x)$ are shown below. These two functions have the
following property: For any value of $x$, the line tangent to the graph of $f$ at the point $(x,f(x))$ has
the same slope as the line tangent to the graph of $g$ at the point $(x,g(x))$. The figure demonstrates
this for $x=1$ as an example. Which of the following statements is true?
The functions
and
are equal.
Correct!
Correct!

6/19/17, 9(33 PM
Chapter 2 Test: MATH 110, Summer 2017
For
, we have
. To say anything about
and
for other
values of
more information would be needed.
For all values of
,
.
For
, we have
. To say anything about
and
for
other values of
more information would be needed.
For all values of
,
.
2 / 2 pts
Question 8
Let
be the temperature in degrees Fahrenheit, at an altitude of
kilometers (km) above sea
level for a particular location. At an altitude of 3 kilometers, the temperature is decreasing at a rate of 2
degrees Fahrenheit per kilometer, but the rate of this temperature decrease is slowing. That is, for
altitudes above 3 km, the rate of temperature decrease is less than 2 degrees per kilometer.
Choose the mathematical statement that best matches this description.
.
.
.
.
Correct!
Correct!

Page 6 of 10
and
.

6/19/17, 9(33 PM
Chapter 2 Test: MATH 110, Summer 2017
Page 7 of 10
2 / 2 pts
Question 9
Given the function
, and
and
, calculate the
relative
rate of change of
when
.
Correct!
Correct!