Question 1

Graph by converting to exponential form first:
-

Accepted Answer

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

Question 2

Write in terms of simpler forms:
-

Accepted Answer

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

Question 3

The graph that follows is the graph of a polynomial function. (i) What is the minimum degree of a polynomial function that could have the graph? (ii) Is the leading coefficient of the polynomial negative or positive?
-

Accepted Answer

A)  (i) 2
(ii) Negative 
B)  (i) 3
(ii) Positive 
C)  (i) 2
(ii) Positive 
D)  (i) 3
(ii) Negative 
A)  (i) 2
(ii) Negative 
B)  (i) 3
(ii) Positive 
C)  (i) 2
(ii) Positive 
D)  (i) 3
(ii) Negative C

Question 4

The graph that follows is the graph of a polynomial function. (i) What is the minimum degree of a polynomial function that could have the graph? (ii) Is the leading coefficient of the polynomial negative or positive?
-

Accepted Answer

A)  (i) 3
(ii) Positive 
B)  (i) 2
(ii) Positive 
C)  (i) 3
(ii) Negative 
D)  (i) 2
(ii) Negative 
A)  (i) 3
(ii) Positive 
B)  (i) 2
(ii) Positive 
C)  (i) 3
(ii) Negative 
D)  (i) 2
(ii) Negative

Question 5

Use a calculator to evaluate the expression. Round the result to five decimal places:
-log (-10.25)

Accepted Answer

A)  -1.01072 
B)  1.01072 
C)  2.32728 
D)  Undefined 
A)  -1.01072 
B)  1.01072 
C)  2.32728 
D)  Undefined

Question 6

Financial analysts in a company that manufactures ovens arrived at the following daily cost equation for manufacturing x ovens per day: C(x) =   + 4x + 1800. The average cost per unit at a production level of x ovens per day is   (x) = C(x)/x. (i) Find the rational function   . (ii) Sketch a graph of   (x) for 10 $\le$ x $\le$ 125. (iii) For what daily production level (to the nearest integer) is the average cost per unit at a minimum, and what is the minimum average cost per oven (to the nearest cent)? HINT: Refer to the sketch in part (ii) and evaluate   (x) at appropriate integer values until a minimum value is found.

Accepted Answer

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

Question 7

Find the equation of any horizontal asymptote:
-

Accepted Answer

A)  y = 0 
B)    
C)    
D)  None 
A)  y = 0 
B)    
C)    
D)  None

Question 8

Determine whether the relation represents a function. If it is a function, state the domain and range.
-

Accepted Answer

A)  function
Domain:{15, 20, 25, 30}
Range: { 3, 4, 5, 6} 
B)  function
Domain: { 3, 4, 5, 6}
Range: {15, 20, 25, 30} 
C)  not a function 
A)  function
Domain:{15, 20, 25, 30}
Range: { 3, 4, 5, 6} 
B)  function
Domain: { 3, 4, 5, 6}
Range: {15, 20, 25, 30} 
C)  not a function

Question 9

Find the equations of any vertical asymptotes:
-

Accepted Answer

A)  x = 1, x = -1 
B)  x = -2 
C)  x = 2 
D)  None. 
A)  x = 1, x = -1 
B)  x = -2 
C)  x = 2 
D)  None.

Question 10

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 11

Graph the function:
-

Accepted Answer

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

Question 12

Find the equations of any vertical asymptotes:
-

Accepted Answer

A)  y = 3, y = -6 
B)  y = 4 
C)  x = -3, x = 6 
D)  x = 3, x = -6 
A)  y = 3, y = -6 
B)  y = 4 
C)  x = -3, x = 6 
D)  x = 3, x = -6

Question 13

How can the graph of f(x) = -   6 be obtained from the graph of y =   ?

Accepted Answer

A)  Shift it horizontally 1 units to the right. Reflect it across the   Shift it 6 units up. 
B)  Shift it horizontally 1 units to the right. Reflect it across the   Shift it 6 units up. 
C)  Shift it horizontally 1 units to the left. Reflect it across the   Shift it 6 units up. 
D)  Shift it horizontally 1 units to the right. Reflect it across the   Shift it 6 units down. 
A)  Shift it horizontally 1 units to the right. Reflect it across the   Shift it 6 units up. 
B)  Shift it horizontally 1 units to the right. Reflect it across the   Shift it 6 units up. 
C)  Shift it horizontally 1 units to the left. Reflect it across the   Shift it 6 units up. 
D)  Shift it horizontally 1 units to the right. Reflect it across the   Shift it 6 units down.

Question 14

Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in the figure:
-

Accepted Answer

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

Question 15

Use the properties of logarithms to solve:
-

Accepted Answer

A) 2 
B) 24 
C) 7 
D) 6 
A) 2 
B) 24 
C) 7 
D) 6

Question 16

Assume that a person's critical weight W, defined as the weight above which the risk of death rises dramatically, is given by W(h) =   , where W is in pounds and h is the person's height in inches.Find the tcritical weight for a person who is 6 ft 11 in. tall. Round to the nearest tenth.

Accepted Answer

A)  212.4 lb 
B)  221.5 lb 
C)  377.4 lb 
D)  339.3 lb 
A)  212.4 lb 
B)  221.5 lb 
C)  377.4 lb 
D)  339.3 lb

Question 17

Find the range of the given function. Express your answer in interval notation:
-

Accepted Answer

A)  (-$\infty$, -3] 
B)  [3, $\infty$) 
C)  (-$\infty$, 2] 
D)  [ - 2, $\infty$) 
A)  (-$\infty$, -3] 
B)  [3, $\infty$) 
C)  (-$\infty$, 2] 
D)  [ - 2, $\infty$)

Question 18

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 19

Determine whether the function is linear, constant, or neither:
-

Accepted Answer

A)  Linear 
B)  Constant 
C)  Neither 
A)  Linear 
B)  Constant 
C)  Neither

Question 20

Solve the equation graphically to four decimal places:
-

Accepted Answer

A)  No solution 
B)  -2.6235, 7.6235 
C)  -2.6235 
D)  7.6235 
A)  No solution 
B)  -2.6235, 7.6235 
C)  -2.6235 
D)  7.6235

Graph by converting to exponential form first: -

Write in terms of simpler forms: -

The graph that follows is the graph of a polynomial function. (i) What is the minimum degree of a polynomial function that could have the graph? (ii) Is the leading coefficient of the polynomial negative or positive? -

The graph that follows is the graph of a polynomial function. (i) What is the minimum degree of a polynomial function that could have the graph? (ii) Is the leading coefficient of the polynomial negative or positive? -

Use a calculator to evaluate the expression. Round the result to five decimal places: -log (-10.25)

Find the equation of any horizontal asymptote: -

Determine whether the relation represents a function. If it is a function, state the domain and range. -

Find the equations of any vertical asymptotes: -

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

Graph the function: -

Find the equations of any vertical asymptotes: -

How can the graph of f(x) = - 6 be obtained from the graph of y = ?

Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in the figure: -

Use the properties of logarithms to solve: -

Assume that a person's critical weight W, defined as the weight above which the risk of death rises dramatically, is given by W(h) = , where W is in pounds and h is the person's height in inches.Find the tcritical weight for a person who is 6 ft 11 in. tall. Round to the nearest tenth.

Find the range of the given function. Express your answer in interval notation: -

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). -

Determine whether the function is linear, constant, or neither: -

Solve the equation graphically to four decimal places: -

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

Graph by converting to exponential form first: -

Write in terms of simpler forms: -

The graph that follows is the graph of a polynomial function. (i) What is the minimum degree of a polynomial function that could have the graph? (ii) Is the leading coefficient of the polynomial negative or positive? -

The graph that follows is the graph of a polynomial function. (i) What is the minimum degree of a polynomial function that could have the graph? (ii) Is the leading coefficient of the polynomial negative or positive? -

Use a calculator to evaluate the expression. Round the result to five decimal places: -log (-10.25)

Find the equation of any horizontal asymptote: -

Determine whether the relation represents a function. If it is a function, state the domain and range. -

Find the equations of any vertical asymptotes: -

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

Graph the function: -

Find the equations of any vertical asymptotes: -

How can the graph of f(x) = - 6 be obtained from the graph of y = ?

Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in the figure: -

Use the properties of logarithms to solve: -

Assume that a person's critical weight W, defined as the weight above which the risk of death rises dramatically, is given by W(h) = , where W is in pounds and h is the person's height in inches.Find the tcritical weight for a person who is 6 ft 11 in. tall. Round to the nearest tenth.

Find the range of the given function. Express your answer in interval notation: -

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). -

Determine whether the function is linear, constant, or neither: -

Solve the equation graphically to four decimal places: -

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