Question 1

Solve graphically to two decimal places using a graphing calculator:
-

Accepted Answer

A)  -0.93  0.93 
C)  x  2.46 
D)  -2.46 < x < 0.93 
A)  -0.93  0.93 
C)  x  2.46 
D)  -2.46 < x < 0.93

Question 2

Convert to an exponential equation:
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 3

The function M described by M(x) = 2.89x + 70.64 can be used to estimate the height, in centimeters, of a male whose humerus (the bone from the elbow to the shoulder) is x cm long. Estimate the height of a male whose humerus is   long. Round your answer to the nearest four decimal places.

Accepted Answer

A)  156.5375 cm 
B)  160.0277 cm 
C)  30.9300 cm 
D)  157.3400 m 
A)  156.5375 cm 
B)  160.0277 cm 
C)  30.9300 cm 
D)  157.3400 m

Question 4

The population P, in thousands, of Fayetteville is given by P(t) =   , where t is the time, in months. Find the population at 9 months.

Accepted Answer

A)  7988 
B)  15, 976 
C)  40,000 
D)  30, 769 
A)  7988 
B)  15, 976 
C)  40,000 
D)  30, 769

Question 5

Use the REGRESSION feature on a graphing calculator:
-The total cost of the Democratic and the Republican national conventions has increased 596% over the 20-year period between 1980 and 2004. The following table lists the total cost, in millions of dollars, for selected years.   Find the exponential functions that best estimates this data. Round your answer to four decimal places

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 6

Use a calculator to evaluate the expression. Round the result to five decimal places:
-log 0.234

Accepted Answer

A)  1.26364 
B)  -0.63074 
C)  0.234 
D)  -1.45243 
A)  1.26364 
B)  -0.63074 
C)  0.234 
D)  -1.45243

Question 7

Find the function value:
-Find f( 4) when

Accepted Answer

A)  137 
B)  -119 
C)  -23 
D)  -55 
A)  137 
B)  -119 
C)  -23 
D)  -55

Question 8

Find the vertex form for the quadratic function. Then find each of the following:
(A) Intercepts
(B) Vertex
(C) Maximum or minimum
(D) Range
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 9

Give the domain and range of the function.
-

Accepted Answer

A)  Domain: all real numbers; Range: (-$\infty$, 4] 
B)  Domain: (-$\infty$, 0]; Range: all real numbers 
C)  Domain: all real numbers; Range: (-$\infty$, 0] 
D)  Domain: [0, $\infty$); Range: [0, $\infty$) 
A)  Domain: all real numbers; Range: (-$\infty$, 4] 
B)  Domain: (-$\infty$, 0]; Range: all real numbers 
C)  Domain: all real numbers; Range: (-$\infty$, 0] 
D)  Domain: [0, $\infty$); Range: [0, $\infty$)

Question 10

For the rational function below (i) Find any intercepts for the graph; (ii) Find any vertical and horizontal asymptotes for the graph; (iii) Sketch any asymptotes as dashed lines. Then sketch a graph of f.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 11

Use the REGRESSION feature on a graphing calculator:
-As the number of farms has decreased in South Carolina, the average size of the remaining farms has grown larger, as shown below.
 
Let x represent the number of years since 1900. Use a graphing calculator to fit a quadratic function to the data. Round your answer to five decimal places.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 12

Determine whether the graph is the graph of a function.
-

Accepted Answer

A)  function 
B)  not a function 
A)  function 
B)  not a function

Question 13

Give the domain and range of the function.
-

Accepted Answer

A)  Domain: [0, $\infty$); Range: [0, $\infty$) 
B)  Domain: [ 2, $\infty$); Range: all real numbers 
C)  Domain: all real numbers; Range: [2, $\infty$) 
D)  Domain: all real numbers; Range: [ 5, $\infty$) 
A)  Domain: [0, $\infty$); Range: [0, $\infty$) 
B)  Domain: [ 2, $\infty$); Range: all real numbers 
C)  Domain: all real numbers; Range: [2, $\infty$) 
D)  Domain: all real numbers; Range: [ 5, $\infty$)

Question 14

Accepted Answer

The answer of  ...

Question 15

Determine whether the relation represents a function. If it is a function, state the domain and range.
-{( -2, 2), ( -1, -1), (0, -2), ( 1, -1), ( 3, 7)}

Accepted Answer

A)  function
Domain: { -2, -1, 0, 1, 3}
Range: { 2, -1, -2, 7} 
B)  function
Domain: { 2, -1, -2, 7}
Range: { -2, -1, 0, 1, 3} 
C)  not a function 
A)  function
Domain: { -2, -1, 0, 1, 3}
Range: { 2, -1, -2, 7} 
B)  function
Domain: { 2, -1, -2, 7}
Range: { -2, -1, 0, 1, 3} 
C)  not a function

Question 16

Use point-by-point plotting to sketch the graph of the equation.
-y = x + 3

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 17

Graph   and indicate the maximum or minimum value of f(x), whichever exists.

Accepted Answer

The answer of Graph   and indicate the maximum...

Question 18

The average weight of a particular species of frog is given by w(x) = 98   , 0.1 $\le$ x $\le$ 0.3, where x is length (with legs stretched out) in meters and w(x) is weight in grams. (i) Describe how the graph of function w can be obtained from one of the six basic functions: y = x,   ,   y =   , y =   , or y =   . (ii) Sketch a graph of function w using part (i) as an aid.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 19

For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x).
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 20

Sketch the graph of the function:
-f(x) =

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Solve graphically to two decimal places using a graphing calculator: -

Convert to an exponential equation: -

The function M described by M(x) = 2.89x + 70.64 can be used to estimate the height, in centimeters, of a male whose humerus (the bone from the elbow to the shoulder) is x cm long. Estimate the height of a male whose humerus is long. Round your answer to the nearest four decimal places.

The population P, in thousands, of Fayetteville is given by P(t) = , where t is the time, in months. Find the population at 9 months.

Use a calculator to evaluate the expression. Round the result to five decimal places: -log 0.234

Find the function value: -Find f( 4) when

Find the vertex form for the quadratic function. Then find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -

Give the domain and range of the function. -

For the rational function below (i) Find any intercepts for the graph; (ii) Find any vertical and horizontal asymptotes for the graph; (iii) Sketch any asymptotes as dashed lines. Then sketch a graph of f. -

Determine whether the graph is the graph of a function. -

Give the domain and range of the function. -

Determine whether the relation represents a function. If it is a function, state the domain and range. -{( -2, 2), ( -1, -1), (0, -2), ( 1, -1), ( 3, 7)}

Use point-by-point plotting to sketch the graph of the equation. -y = x + 3

Graph and indicate the maximum or minimum value of f(x), whichever exists.

For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x). -

Sketch the graph of the function: -f(x) =

Linear Equations and Graphs

Mathematics of Finance

Systems of Linear Equations; Matrices

Linear Inequalities and Linear Programming

Linear Programming: The Simplex Method

Logic, Sets, and Counting

Probability

Markov Chains

Data Description and Probability Distributions

Games and Decisions

Appendix A: Basic Algebra Review

Appendix B: Special Topics

Filters

Exam 2: Functions and Graphs

Solve graphically to two decimal places using a graphing calculator: -

Convert to an exponential equation: -

The function M described by M(x) = 2.89x + 70.64 can be used to estimate the height, in centimeters, of a male whose humerus (the bone from the elbow to the shoulder) is x cm long. Estimate the height of a male whose humerus is long. Round your answer to the nearest four decimal places.

The population P, in thousands, of Fayetteville is given by P(t) = , where t is the time, in months. Find the population at 9 months.

Use a calculator to evaluate the expression. Round the result to five decimal places: -log 0.234

Find the function value: -Find f( 4) when

Find the vertex form for the quadratic function. Then find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -

Give the domain and range of the function. -

For the rational function below (i) Find any intercepts for the graph; (ii) Find any vertical and horizontal asymptotes for the graph; (iii) Sketch any asymptotes as dashed lines. Then sketch a graph of f. -

Determine whether the graph is the graph of a function. -

Give the domain and range of the function. -

Determine whether the relation represents a function. If it is a function, state the domain and range. -{( -2, 2), ( -1, -1), (0, -2), ( 1, -1), ( 3, 7)}

Use point-by-point plotting to sketch the graph of the equation. -y = x + 3

Graph and indicate the maximum or minimum value of f(x), whichever exists.

For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x). -

Sketch the graph of the function: -f(x) =

Linear Equations and Graphs

Mathematics of Finance

Systems of Linear Equations; Matrices

Linear Inequalities and Linear Programming

Linear Programming: The Simplex Method

Logic, Sets, and Counting

Probability

Markov Chains

Data Description and Probability Distributions

Games and Decisions

Appendix A: Basic Algebra Review

Appendix B: Special Topics

Filters