Question 1

Use the vertical line test to determine if the following graph is the graph of a function.

Accepted Answer

A)  function 
B)  not a function

Question 2

The simple interest on an investment is directly proportional to the amount of the investment.By investing $5750 in a certain certificate of deposit, you obtained an interest payment of $172.50 after 1 year.Determine a mathematical model that gives the interest, I, for this CD after 1 year in terms of the amount invested, P.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 3

Use the graph of  to write an equation for the function

Accepted Answer

A)  The graph is shifted 2 units upward, so  
B)  The graph is reflected in the x-axis and shifted 1 unit upward, so  
C)  The graph is shifted 1 unit to the left,so  
D)  The graph is shifted 2 unit to the left, so  
E)  The graph is shifted 1 unit to the right

Question 4

Determine if lines  and  are parallel, perpendicular, or neither.

Accepted Answer

A)  parallel 
B)  neither 
C)  perpendicular

Question 5

Suppose the average remaining lifetime for women in a given country is given in the following table.  Compute the linear regression equation for these data, where x is the age, in years, and A is the remaining lifetime, in years.Round parameters to the nearest hundredth.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 6

Use a graphing utility to graph the function, approximate the relative minimum or maximum of the function, and estimate the open intervals on which the function is increasing or decreasing.

Accepted Answer

A)  
Decreasing on 
Increasing on 
Relative minimum:  
B)   Decreasing on 
Increasing on 
Relative maximum:  
C)   Decreasing on 
Increasing on 
Relative minimum: 
Relative maximum:  
D)   Decreasing on 
Increasing on 
Relative minimum: 
Relative maximum:  
E)   Decreasing on 
Increasing on 
Relative minimum: 
Relative maximum:

Question 7

Assuming that the graph shown has y-axis symmetry, sketch the complete graph.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 8

Find (fg)(x).

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 9

Evaluate the function at each specified value of the independent variable.  a)  b)  c)  d)

Accepted Answer

A)  2, 2, -3, -4 
B)  2, 3, -3, -4 
C)  2, 2, -2, -4 
D)  2, 2.5, 2.5, 4 
E)  2, 2.5, -2.5, -4

Question 10

A pebble is dropped into a calm pond, causing ripples in the form of concentric circles.The radius (in feet) of the outermost ripple is given by  where  is time in seconds after the pebble strikes the water.The area of the outermost circle is given by the function  Find and interpret

Accepted Answer

A)    represents the area of the circle at time  
B)    represents the radius of the circle at time  
C)    represents the radius of the circle at time  
D)    represents the area of the circle at time  
E)    represents the area of the circle at time

Question 11

Sketch the graph of the equation below.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 12

Sketch the graph of the function.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 13

Sketch the graph of the function.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 14

Estimate the slope of the line.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 15

The table below shows the velocities, in feet per second, of a ball that is thrown horizontally from the top of a 50 foot building and the distances, in feet, that it lands from the base of the building.Compute the linear regression equation for these data.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 16

Determine the domain of  if  and

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 17

The population  (in millions of people) of North America from 1980 to 2050 can be modeled by   where  represents the year, with  corresponding to 2050.Find the y-intercept of the graph of the model.What does it represent in the given situation?

Accepted Answer

A)   It represents the population (in millions of people) of North America in 2050. 
B)   It represents the population (in millions of people) of North America in 1990. 
C)   It represents the population (in millions of people) of North America in 2030. 
D)   It represents the population (in millions of people) of North America in 2020. 
E)   It represents the population (in millions of people) of North America in 1980.

Question 18

Find the slope of the line that passes through the points  and

Accepted Answer

A)  9 
B)  -5 
C)  5 
D)  0 
E)  undefined

Question 19

Plot the points below whose coordinates are given on a Cartesian coordinate system.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 20

Given  find

Accepted Answer

A)   
B)   
C)   
D)   
E)

Exam 2: Functions and Graphs

Use the vertical line test to determine if the following graph is the graph of a function.

Use the graph of to write an equation for the function

Determine if lines and are parallel, perpendicular, or neither.

Suppose the average remaining lifetime for women in a given country is given in the following table. Compute the linear regression equation for these data, where x is the age, in years, and A is the remaining lifetime, in years.Round parameters to the nearest hundredth.

Use a graphing utility to graph the function, approximate the relative minimum or maximum of the function, and estimate the open intervals on which the function is increasing or decreasing.

Assuming that the graph shown has y-axis symmetry, sketch the complete graph.

Find (fg) (x) .

Evaluate the function at each specified value of the independent variable. a) b) c) d)

A pebble is dropped into a calm pond, causing ripples in the form of concentric circles.The radius (in feet) of the outermost ripple is given by where is time in seconds after the pebble strikes the water.The area of the outermost circle is given by the function Find and interpret

Sketch the graph of the equation below.

Sketch the graph of the function.

Sketch the graph of the function.

Estimate the slope of the line.

The table below shows the velocities, in feet per second, of a ball that is thrown horizontally from the top of a 50 foot building and the distances, in feet, that it lands from the base of the building.Compute the linear regression equation for these data.

Determine the domain of if and

The population (in millions of people) of North America from 1980 to 2050 can be modeled by where represents the year, with corresponding to 2050.Find the y-intercept of the graph of the model.What does it represent in the given situation?

Find the slope of the line that passes through the points and

Plot the points below whose coordinates are given on a Cartesian coordinate system.

Given find