Question 1

Use the graph of  given below to find the graph of the function  . ​  ​

Accepted Answer

A) ​
 
B) ​
 
C) ​
 
D) ​
 
E) ​

Question 2

Sketch the line passing through the point  with the slope  . ​​

Accepted Answer

A) ​
 
B) ​
 
C) ​
 
D) ​
 
E) ​

Question 3

The resistance y in ohms of 1,000 feet of solid metal wire at 77°F can be approximated by the model  ,  where x is the diameter of the wire in mils (0.001 in).Use a graphing utility to graph the model  ,  . ​

Accepted Answer

A) ​
 
B) ​
 
C) ​
 
D) ​
 
E) ​

Question 4

Solve the following equation for x. ​  ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 5

Find  if  . ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 6

Use the graph of  given below to find the graph of the function  .

Accepted Answer

A) ​
 
B) ​
 
C) ​
 
D) ​
 
E) ​

Question 7

Evaluate the function  at  . ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 8

An open box of maximum volume is to be made from a square piece of material 16 centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure).Write the volume V as a function of x,the length of the corner squares. ​   ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 9

Solve the following equation for x. ​  ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 10

Determine whether y is a function of x.  y

Accepted Answer

A) no 
B) yes

Question 11

Use the functions  and  to find the function  . ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 12

Let  .Then simplify the expression  . ​

Accepted Answer

A) 6 
B) 5 
C) 10 
D) 2 
E) undefined

Question 13

Sketch the graph of the equation: ​  ​

Accepted Answer

A) ​
 
B) ​
 
C) ​
 
D) ​
 
E) ​

Question 14

Solve the following equation for x. ​  ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 15

Find  if  . ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 16

Find an equation of the line that passes through the points  and  . ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 17

Write an equation of the line that passes through the point  and is parallel to the line  . ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 18

Use the Horizontal Line Test to determine whether the following statement is true or false.
​
The function  is one-to-one on its entire domain and therefore has an inverse function.
​

Accepted Answer

A) True 
 B)False

Question 19

​Find the slope of the line passing through the pair of points. ​  ,  ​

Accepted Answer

A) ​  
B)   
C) ​  
D) ​  
E) ​0

Question 20

A moving conveyor is built to rise 5 meters for every 12 meters of horizontal change.Find the slope of the conveyor. ​

Accepted Answer

A) 0 
B)   
C)   
D)   
E)

Exam 1: Preparation for Calculus

Use the graph of given below to find the graph of the function .

Sketch the line passing through the point with the slope .

The resistance y in ohms of 1,000 feet of solid metal wire at 77°F can be approximated by the model , where x is the diameter of the wire in mils (0.001 in) .Use a graphing utility to graph the model , .

Solve the following equation for x.

Find if .

Use the graph of given below to find the graph of the function .

Evaluate the function at .

An open box of maximum volume is to be made from a square piece of material 16 centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure) .Write the volume V as a function of x,the length of the corner squares.

Solve the following equation for x.

Determine whether y is a function of x. y

Use the functions and to find the function .

Let .Then simplify the expression .

Sketch the graph of the equation:

Solve the following equation for x.

Find if .

Find an equation of the line that passes through the points and .

Write an equation of the line that passes through the point and is parallel to the line .

Use the Horizontal Line Test to determine whether the following statement is true or false. The function is one-to-one on its entire domain and therefore has an inverse function.

Find the slope of the line passing through the pair of points. ,

A moving conveyor is built to rise 5 meters for every 12 meters of horizontal change.Find the slope of the conveyor.

Exam 1: Preparation for Calculus

Use the graph of given below to find the graph of the function . ​ ​

Sketch the line passing through the point with the slope . ​​

The resistance y in ohms of 1,000 feet of solid metal wire at 77°F can be approximated by the model , where x is the diameter of the wire in mils (0.001 in) .Use a graphing utility to graph the model , . ​

Solve the following equation for x. ​ ​

Find if . ​

Use the graph of given below to find the graph of the function .

Evaluate the function at . ​

An open box of maximum volume is to be made from a square piece of material 16 centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure) .Write the volume V as a function of x,the length of the corner squares. ​ ​

Solve the following equation for x. ​ ​

Determine whether y is a function of x. y

Use the functions and to find the function . ​

Let .Then simplify the expression . ​

Sketch the graph of the equation: ​ ​

Solve the following equation for x. ​ ​

Find if . ​

Find an equation of the line that passes through the points and . ​

Write an equation of the line that passes through the point and is parallel to the line . ​

Use the Horizontal Line Test to determine whether the following statement is true or false. ​ The function is one-to-one on its entire domain and therefore has an inverse function. ​

​Find the slope of the line passing through the pair of points. ​ , ​

A moving conveyor is built to rise 5 meters for every 12 meters of horizontal change.Find the slope of the conveyor. ​

Use the graph of given below to find the graph of the function .

Sketch the line passing through the point with the slope .

The resistance y in ohms of 1,000 feet of solid metal wire at 77°F can be approximated by the model , where x is the diameter of the wire in mils (0.001 in) .Use a graphing utility to graph the model , .

Solve the following equation for x.

Find if .

Evaluate the function at .

An open box of maximum volume is to be made from a square piece of material 16 centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure) .Write the volume V as a function of x,the length of the corner squares.

Solve the following equation for x.

Use the functions and to find the function .

Let .Then simplify the expression .

Sketch the graph of the equation:

Solve the following equation for x.

Find if .

Find an equation of the line that passes through the points and .

Write an equation of the line that passes through the point and is parallel to the line .

Use the Horizontal Line Test to determine whether the following statement is true or false. The function is one-to-one on its entire domain and therefore has an inverse function.

Find the slope of the line passing through the pair of points. ,

A moving conveyor is built to rise 5 meters for every 12 meters of horizontal change.Find the slope of the conveyor.