Question 1

Evaluate.
-

Accepted Answer

A)  8 
B)  32 
C)   
D)  4

Question 2

Write in terms of simpler forms.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 3

Find the equations of any vertical asymptotes.
-

Accepted Answer

A)  y = 4, y = -4 
B)  x = 10, x = -10 
C)  x = -4 
D)  x = 4, x = -4

Question 4

Use a calculator to evaluate the expression. Round the result to five decimal places.
-ln 0.027

Accepted Answer

A)  -3.61192 
B)  0.56864 
C)  -1.56864 
D)  Undefined

Question 5

For the given function, find each of the following:
(A) Intercepts
(B) Vertex
(C) Maximum or minimum
(D) Range
-f(x) =

Accepted Answer

A)   
B)   
C)   
D)

Question 6

Use interval notation to write the solution set of the inequality.
-3x + 5 < 29

Accepted Answer

A)   
B)   
C)   
D)

Question 7

Find the equation of any horizontal asymptote.
-

Accepted Answer

A)  y = 1 
B)  y = -7 
C)  y = 2 
D)  None

Question 8

Convert to an exponential equation.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 9

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

Accepted Answer

A)   
B)   
C)   
D)

Question 10

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

Accepted Answer

A)  function 
B)  not a function

Question 11

Convert to an exponential equation.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 12

Solve the problem.
-If the average cost per unit C(x) to produce x units of plywood is given by  what is the unit cost for 10 units?

Accepted Answer

A)  $24.00 
B)  $3.00 
C)  $120.00 
D)  $80.00

Question 13

Provide an appropriate response.
-

Accepted Answer

A)   Range: all real numbers 
B)   
C)  Domain: all real numbers; Range: all real numbers 
D)

Question 14

Use the REGRESSION feature on a graphing calculator.
-A particular bacterium is found to have a doubling time of 20 minutes. If a laboratory culture begins with a
population of 300 of this bacteria and there is no change in the growth rate, how many bacteria will be present
in 55 minutes? Use six decimal places in the interim calculation for the growth rate.

Accepted Answer

The answer of Use the REGRESSION feature on a graphing...

Question 15

Solve the problem.
-Using a phone card to make a long distance call costs a flat fee of $0.85 plus per $0.19 minute starting with the first minute. Find the total cost of a phone call which lasts 8 minutes.

Accepted Answer

A)  $6.00 
B)  $2.37 
C)  $8.16 
D)  $1.52

Question 16

Convert to an exponential equation.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 17

Provide an appropriate response.
-

Accepted Answer

A)   
B)   
C)   
D)   Range: all real numbers

Question 18

For the given function, find each of the following:
(A) Intercepts
(B) Vertex
(C) Maximum or minimum
(D) Range
-

Accepted Answer

A)   
B)   
C)   
D)

Question 19

The graph of a function f is given. Use the graph to answer the question.
-Use the graph of f given below to find f(-50).

Accepted Answer

A)  -50 
B)  30 
C)  0 
D)  80

Question 20

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)

Exam 1: Functions and Graphs

Evaluate. -

Write in terms of simpler forms. -

Find the equations of any vertical asymptotes. -

Use a calculator to evaluate the expression. Round the result to five decimal places. -ln 0.027

For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -f(x) =

Use interval notation to write the solution set of the inequality. -3x + 5 < 29

Find the equation of any horizontal asymptote. -

Convert to an exponential equation. -

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

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

Convert to an exponential equation. -

Solve the problem. -If the average cost per unit C(x) to produce x units of plywood is given by what is the unit cost for 10 units?

Provide an appropriate response. -

Solve the problem. -Using a phone card to make a long distance call costs a flat fee of $0.85 plus per $0.19 minute starting with the first minute. Find the total cost of a phone call which lasts 8 minutes.

Convert to an exponential equation. -

Provide an appropriate response. -

For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -

The graph of a function f is given. Use the graph to answer the question. -Use the graph of f given below to find f(-50) .

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) . -