Question 1

Below is a graph of a function $f ( x )$ . What is the value of $f ( 3 )$ ?

Accepted Answer

A)  9 
B)  10 
C)  0 
D)  None of the above 
A)  9 
B)  10 
C)  0 
D)  None of the above

Question 2

The following table shows average rice yield, in tons per hectare, in Asia   years since 1980. $$\begin{array} { | l | l | l | l | l | l | } 
\hline \begin{array} { l } 
\mathrm { t } = \text { years since } \
1980
\end{array} & 5 & 10 & 15 & 20 & 25 \
\hline Y = \text { yield } & 3.32 & 3.61 & 3.73 & 3.95 & 4.11 \
\hline
\end{array}$$ Use the average rate of change to estimate the yield in 1996.

Accepted Answer

A)  3.73 tons per hectare 
B)  3.77 tons per hectare 
C)  3.87 tons per hectare 
D)  None of the above 
A)  3.73 tons per hectare 
B)  3.77 tons per hectare 
C)  3.87 tons per hectare 
D)  None of the above

Question 3

If you work 43 hours per week, then your weekly pay P , in dollars, is proportional to your hourly wage $W$ , in dollars per hour. Express this proportionality relationship as a formula.

Accepted Answer

A)  $\rho \text { oc WV }$ 
B)  $\rho = 43 \mathrm {~W}$ 
C)  $W = 430$ 
D)  None of the above. 
A)  $\rho \text { oc WV }$ 
B)  $\rho = 43 \mathrm {~W}$ 
C)  $W = 430$ 
D)  None of the above.

Question 4

The following table shows your monthly payment P, in dollars, if you pay off a loan in   months.

Which formula below fits these data?

Accepted Answer

A)  $P = \frac { 5099 } { t }$ 
B)  $P = \frac { 50.99 \times 1.01 ^ {t } } { 1.01 ^ { t } - 1 }$ 
C)  $P = \frac { 5099 \times ( 1.01 ) ^ { t } } { t - 1.01 }$ 
D)  None of the above 
A)  $P = \frac { 5099 } { t }$ 
B)  $P = \frac { 50.99 \times 1.01 ^ {t } } { 1.01 ^ { t } - 1 }$ 
C)  $P = \frac { 5099 \times ( 1.01 ) ^ { t } } { t - 1.01 }$ 
D)  None of the above

Question 5

The following table shows your monthly payment P, in dollars, if you pay off a loan in   months.

Which formula below fits these data?

Accepted Answer

A)  $p = \frac { 5097 } { t }$ 
B)  $P = \frac { 50.97 \times 1.01 ^ { t } } { 1.01 ^ { 2 } - 1 }$ 
C)  $P = \frac { 5097 \times ( 1.01 ) ^ { t } } { t - 1.01 }$ 
D)  None of the above 
A)  $p = \frac { 5097 } { t }$ 
B)  $P = \frac { 50.97 \times 1.01 ^ { t } } { 1.01 ^ { 2 } - 1 }$ 
C)  $P = \frac { 5097 \times ( 1.01 ) ^ { t } } { t - 1.01 }$ 
D)  None of the above

Question 6

The following table shows average rice yield, in tons per hectare, in Asia   years since 1980. $$\begin{array} { | l | l | l | l | l | l | } 
\hline \begin{array} { l } 
\mathrm { t } = \text { years since } \
1980
\end{array} & 5 & 10 & 15 & 20 & 25 \
\hline Y = \text { yield } & 3.32 & 3.61 & 3.73 & 3.95 & 4.11 \
\hline
\end{array}$$ Use the average rate of change to estimate the yield in 1996.

Accepted Answer

A)  3.73 tons per hectare 
B)  3.77 tons per hectare 
C)  3.87 tons per hectare 
D)  None of the above 
A)  3.73 tons per hectare 
B)  3.77 tons per hectare 
C)  3.87 tons per hectare 
D)  None of the above

Question 7

The following table shows some function values.  
Which formula below fits these data?

Accepted Answer

A)  $f ( x ) = 7 x + 6$ 
B)  $f ( x ) = 6 x + 7$ 
C)  $f ( x ) = \frac { x + 7 } { 6 }$ 
D)  $f ( x ) = \frac { 7 } { x + 6 }$ 
A)  $f ( x ) = 7 x + 6$ 
B)  $f ( x ) = 6 x + 7$ 
C)  $f ( x ) = \frac { x + 7 } { 6 }$ 
D)  $f ( x ) = \frac { 7 } { x + 6 }$

Question 8

Below is a graph of a function $f ( x )$ . What is the limiting value for $f$ ?

Accepted Answer

A)  60 
B)  20 
C)  50 
D)  None of the above 
A)  60 
B)  20 
C)  50 
D)  None of the above

Question 9

You put a drink in the freezer to cool. You take it out of the freezer when it is cold. But you forget about the drink and leave it sitting on the kitchen counter. The graph below shows the temperature, in
Degrees, of the drink   minutes after the drink is placed in the freezer. What is the temperature in the kitch-
En?

Accepted Answer

A)  20 degrees 
B)  60 degrees 
C)  70 degrees 
D)  None of the above 
A)  20 degrees 
B)  60 degrees 
C)  70 degrees 
D)  None of the above

Question 10

The distance, in miles, from me to a moving train is given by $D ( t ) = \sqrt { ( 30 t ) ^ { 2 } + ( 5 - 30 t ) ^ { 2 } }$ Here   represents hours since I heard the train whistle. Calculate the distance to the train 5 hours after I heard the whistle.

Accepted Answer

A)  5 miles 
B)  208.63 miles 
C)  43525 miles 
D)  147.56 miles 
A)  5 miles 
B)  208.63 miles 
C)  43525 miles 
D)  147.56 miles

Question 11

$$\text { If } g ( x , y ) = \frac { e ^ { x } + e ^ { - y } } { x y ^ { - e} } , \text { calculate the value of } g ( 3.72,4.59 )$$

Accepted Answer

A)  41.26 
B)  698.45 
C)  -968.44 
D)  968.44 
A)  41.26 
B)  698.45 
C)  -968.44 
D)  968.44

Question 12

Choose the answer that best completes the following sentence. A point of inflection occurs where...

Accepted Answer

A)  concavity changes 
B)  concavity is at a maximum 
C)  the graph is increasing 
D)  the graph is bent 
A)  concavity changes 
B)  concavity is at a maximum 
C)  the graph is increasing 
D)  the graph is bent

Question 13

The temperature of an oven remains constant at 377 degrees Fahrenheit. A potato is placed in the oven to bake. The difference between the temperature of the oven and that of the potato after   mi-
Nutes in the oven is given by $D = 302 \times 0.92 ^ { t }$ degrees Fahrenheit. Write a formula that gives the tempera-
Ture $T$ , in degrees Fahrenheit, of the potato after   minutes in the oven.

Accepted Answer

A)  $T = 377 - 302 \times 0.92 ^ { t }$ 
B)  $T = 377 + 302 \times 0.92 ^ { t }$ 
C)  $T = 377 \times 302 \times 0.92 ^ { t }$ 
D)  $T = 302 \times 0.92 ^ { t } - 377$ 
A)  $T = 377 - 302 \times 0.92 ^ { t }$ 
B)  $T = 377 + 302 \times 0.92 ^ { t }$ 
C)  $T = 377 \times 302 \times 0.92 ^ { t }$ 
D)  $T = 302 \times 0.92 ^ { t } - 377$

Question 14

Sugar costs $1.69 per pound, and lemons cost $0.98 each. You sell lemonade for $1.35 per glass. Write S for the pounds of sugar used, L for the number of lemons used, G for the number of glasses
Of lemonade you sell, and P for the profit, in dollars, you make. Express using a formula your profit in
Terms of pounds of sugar used, number of lemons used, and number of glasses of lemonade sold.

Accepted Answer

A)  $P = 1.35 G - 1.69 S - 0.98 L$ 
B)  $P = 1.35 G + 1.69 S + 0.98 L$ 
C)  $P = 1.69 S + 0.98 L - 1.35 G$ 
D)  $P + 1.69 G + 1.35 S - 0.98 L$ 
A)  $P = 1.35 G - 1.69 S - 0.98 L$ 
B)  $P = 1.35 G + 1.69 S + 0.98 L$ 
C)  $P = 1.69 S + 0.98 L - 1.35 G$ 
D)  $P + 1.69 G + 1.35 S - 0.98 L$

Question 15

Below is a graph of a function $f ( x )$ . What is the value of $f ( 2 )$ ?

Accepted Answer

A)  8 
B)  9 
C)  5 
D)  None of the above 
A)  8 
B)  9 
C)  5 
D)  None of the above

Question 16

If $f ( x , y , z ) = \frac { x y + z } { x + y z }$,
calculate the value of $f ( 9.52,1.93 , - 1.76 )$

Accepted Answer

A)  2.71 
B)  14.79 
C)  -1.65 
D)  18.09 
A)  2.71 
B)  14.79 
C)  -1.65 
D)  18.09

Question 17

If you work 42 hours per week, then your weekly pay $P$ , in dollars, is proportional to your hourly wage $W$ , in dollars per hour. Express this proportionality relationship as a formula.

Accepted Answer

A)  $P \propto W$ 
B)  $P = 42 W$ 
C)  $W = 42 P$ 
D)  None of the above. 
A)  $P \propto W$ 
B)  $P = 42 W$ 
C)  $W = 42 P$ 
D)  None of the above.

Question 18

The following table shows average rice yield, in tons per hectare, in Asia   years since 1980. $$\begin{array} { | l | l | l | l | l | l | } 
\hline \begin{array} { l } 
\text { t=years since } \
1980
\end{array} & 5 & 10 & 15 & 20 & 25 \
\hline Y = \text { yield } & 3.32 & 3.61 & 3.73 & 3.95 & 4.11 \
\hline
\end{array}$$ Use the average rate of change to estimate the yield in 1997.

Accepted Answer

A)  3.73 tons per hectare 
B)  3.82 tons per hectare 
C)  3.87 tons per hectare 
D)  None of the above 
A)  3.73 tons per hectare 
B)  3.82 tons per hectare 
C)  3.87 tons per hectare 
D)  None of the above

Question 19

The distance, in miles, from me to a moving train is given by $D ( t ) = \sqrt { ( 30 t ) ^ { 2 } + ( 5 - 30 t ) ^ { 2 } }$ Here   represents hours since I heard the train whistle. Calculate the distance to the train 7 hours after I heard the whistle.

Accepted Answer

A)  5 miles 
B)  293.47 miles 
C)  86125 miles 
D)  208.55 miles 
A)  5 miles 
B)  293.47 miles 
C)  86125 miles 
D)  208.55 miles

Question 20

Below is a graph of a function $f ( x )$ . What is the limiting value for $f$ ?

Accepted Answer

A)  60 
B)  20 
C)  50 
D)  None of the above 
A)  60 
B)  20 
C)  50 
D)  None of the above

Below is a graph of a function $f ( x )$ . What is the value of $f ( 3 )$ ?

If you work 43 hours per week, then your weekly pay P , in dollars, is proportional to your hourly wage $W$ , in dollars per hour. Express this proportionality relationship as a formula.

The following table shows your monthly payment P, in dollars, if you pay off a loan in months. Which formula below fits these data?

The following table shows your monthly payment P, in dollars, if you pay off a loan in months. Which formula below fits these data?

The following table shows some function values. Which formula below fits these data?

Below is a graph of a function $f ( x )$ . What is the limiting value for $f$ ?

$\text { If } g ( x , y ) = \frac { e ^ { x } + e ^ { - y } } { x y ^ { - e} } , \text { calculate the value of } g ( 3.72,4.59 )$

Choose the answer that best completes the following sentence. A point of inflection occurs where...

Below is a graph of a function $f ( x )$ . What is the value of $f ( 2 )$ ?

If $f ( x , y , z ) = \frac { x y + z } { x + y z }$ , calculate the value of $f ( 9.52,1.93 , - 1.76 )$

If you work 42 hours per week, then your weekly pay $P$ , in dollars, is proportional to your hourly wage $W$ , in dollars per hour. Express this proportionality relationship as a formula.

Below is a graph of a function $f ( x )$ . What is the limiting value for $f$ ?

Graphical and Tabular Analysi

Straight Lines and Linear Functions

Exponential Functions

Filters

Exam 1: Functions

Below is a graph of a function f(x)f ( x )f(x) . What is the value of f(3)f ( 3 )f(3) ?

The following table shows average rice yield, in tons per hectare, in Asia years since 1980. = years since 1980 5 10 15 20 25 Y= yield 3.32 3.61 3.73 3.95 4.11 Use the average rate of change to estimate the yield in 1996.

If you work 43 hours per week, then your weekly pay P , in dollars, is proportional to your hourly wage WWW , in dollars per hour. Express this proportionality relationship as a formula.

The following table shows your monthly payment P, in dollars, if you pay off a loan in months. Which formula below fits these data?

The following table shows your monthly payment P, in dollars, if you pay off a loan in months. Which formula below fits these data?

The following table shows average rice yield, in tons per hectare, in Asia years since 1980. = years since 1980 5 10 15 20 25 Y= yield 3.32 3.61 3.73 3.95 4.11 Use the average rate of change to estimate the yield in 1996.

The following table shows some function values. Which formula below fits these data?

Below is a graph of a function f(x)f ( x )f(x) . What is the limiting value for fff ?

The distance, in miles, from me to a moving train is given by D(t)=(30t)2+(5−30t)2D ( t ) = \sqrt { ( 30 t ) ^ { 2 } + ( 5 - 30 t ) ^ { 2 } }D(t)=(30t)2+(5−30t)2​ Here represents hours since I heard the train whistle. Calculate the distance to the train 5 hours after I heard the whistle.

If g(x,y)=ex+e−yxy−e, calculate the value of g(3.72,4.59)\text { If } g ( x , y ) = \frac { e ^ { x } + e ^ { - y } } { x y ^ { - e} } , \text { calculate the value of } g ( 3.72,4.59 ) If g(x,y)=xy−eex+e−y​, calculate the value of g(3.72,4.59)

Choose the answer that best completes the following sentence. A point of inflection occurs where...

Below is a graph of a function f(x)f ( x )f(x) . What is the value of f(2)f ( 2 )f(2) ?

If f(x,y,z)=xy+zx+yzf ( x , y , z ) = \frac { x y + z } { x + y z }f(x,y,z)=x+yzxy+z​ , calculate the value of f(9.52,1.93,−1.76)f ( 9.52,1.93 , - 1.76 )f(9.52,1.93,−1.76)

If you work 42 hours per week, then your weekly pay PPP , in dollars, is proportional to your hourly wage WWW , in dollars per hour. Express this proportionality relationship as a formula.

The following table shows average rice yield, in tons per hectare, in Asia years since 1980. t=years since 1980 5 10 15 20 25 Y= yield 3.32 3.61 3.73 3.95 4.11 Use the average rate of change to estimate the yield in 1997.

The distance, in miles, from me to a moving train is given by D(t)=(30t)2+(5−30t)2D ( t ) = \sqrt { ( 30 t ) ^ { 2 } + ( 5 - 30 t ) ^ { 2 } }D(t)=(30t)2+(5−30t)2​ Here represents hours since I heard the train whistle. Calculate the distance to the train 7 hours after I heard the whistle.

Below is a graph of a function f(x)f ( x )f(x) . What is the limiting value for fff ?

Graphical and Tabular Analysi

Straight Lines and Linear Functions

Exponential Functions

Filters

Below is a graph of a function $f ( x )$ . What is the value of $f ( 3 )$ ?

If you work 43 hours per week, then your weekly pay P , in dollars, is proportional to your hourly wage $W$ , in dollars per hour. Express this proportionality relationship as a formula.

Below is a graph of a function $f ( x )$ . What is the limiting value for $f$ ?

$\text { If } g ( x , y ) = \frac { e ^ { x } + e ^ { - y } } { x y ^ { - e} } , \text { calculate the value of } g ( 3.72,4.59 )$

Below is a graph of a function $f ( x )$ . What is the value of $f ( 2 )$ ?

If $f ( x , y , z ) = \frac { x y + z } { x + y z }$ , calculate the value of $f ( 9.52,1.93 , - 1.76 )$

If you work 42 hours per week, then your weekly pay $P$ , in dollars, is proportional to your hourly wage $W$ , in dollars per hour. Express this proportionality relationship as a formula.

Below is a graph of a function $f ( x )$ . What is the limiting value for $f$ ?