Question 1

Find an equation of the line through the given points.

Accepted Answer

A)   
B)   
C)   
D)

Question 2

Find all solutions of  .

Accepted Answer

A)   
B)   
C)   
D)

Question 3

Graph  .

Accepted Answer

A)   
B)   
C)   
D)

Question 4

Solve the inequality.

Accepted Answer

A)   
B)   
C)   
D)

Question 5

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

Accepted Answer

A)  parallel 
B)  perpendicular 
C)  neither

Question 6

Find an equation of the line through the given points.

Accepted Answer

A)   
B)   
C)   
D)

Question 7

Graph  .

Accepted Answer

A)   
B)   
C)   
D)

Question 8

Graph the following function and describe all intercepts. Round answers to the nearest hundredth.

Accepted Answer

A)   x-intercepts: (1,0), (-1, 0)
No y-intercept 
B)   x-intercepts: (-2.70, 0), (-0.83, 0), (0.83, 0), (2.70, 0)
Y-intercept: (0, 5) 
C)   x-intercepts: (-2.14, 0), (2.14,0)
Y-intercept: (0, 5) 
D)   x-intercepts: (-2.70, 0), (-0.83,0 ), (0.83, 0), (2.70, 0)
Y-intercept: (0, -5)

Question 9

Use the quadratic formula to find all the zeros.

Accepted Answer

A)   
B)   
C)   
D)

Question 10

Decide whether y is a function of x. y = how far an object lands from the base of a building, x = the velocity with which the object is thrown horizontally

Accepted Answer

A)  y is a function of x 
B)  y is not a function of x

Question 11

Use a graphing utility to estimate all zeros. Round answers to the nearest hundredth.

Accepted Answer

A)   
B)   
C)   
D)  no real zeros

Question 12

Identify the given function as polynomial, rational, both or neither.

Accepted Answer

A)  polynomial, but not rational 
B)  rational, but not polynomial 
C)  both polynomial and rational 
D)  neither polynomial nor rational

Question 13

Convert  radians to degrees.

Accepted Answer

A)  81  
B)  93  
C)  108  
D)  136

Question 14

Graph the following function and describe all extrema. Round answers to the nearest hundredth.

Accepted Answer

A)   A minimum occurs at  .
A maxumum occurs at  . 
B)   No minimum nor maximum occurs. 
C)   No minimum occurs.
A maximum occurs at  . 
D)   A minimum occurs at  .
A maximum occurs at  .

Question 15

An observer, standing on level ground, 100 feet from the bottom of a tower, looks at the top of the tower and notices that his angle of elevation is 0.7 radians. Estimate the height, h, of the tower, rounding your answer to the nearest tenth.

Accepted Answer

A)  h = 84.2 feet 
B)  h = 96.7 feet 
C)  h = 102.5 feet 
D)  h = 108.3 feet

Question 16

Solve the inequality.

Accepted Answer

A)  x  5 
B)  1  5 
D)  x  5

Question 17

Graph  and  on the same axes.

Accepted Answer

A)   
B)   
C)   
D)

Question 18

Use the vertical line test to determine whether or not the graph is a function.

Accepted Answer

A)  function 
B)  not a function

Question 19

Identify functions   and  such that the given function equals

Accepted Answer

A)     
B)     
C)     
D)

Question 20

Complete the square and explain how to transform the graph of  into the graph of

Accepted Answer

A)  shift graph left  units and then down  units 
B)  shift graph right  units and then down  units 
C)  shift the graph right  units and then up  units 
D)  shift the graph left  units and then down  units

Exam 1: Preliminaries

Find an equation of the line through the given points.

Find all solutions of .

Graph .

Solve the inequality.

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

Find an equation of the line through the given points.

Graph .

Graph the following function and describe all intercepts. Round answers to the nearest hundredth.

Use the quadratic formula to find all the zeros.

Decide whether y is a function of x. y = how far an object lands from the base of a building, x = the velocity with which the object is thrown horizontally

Use a graphing utility to estimate all zeros. Round answers to the nearest hundredth.

Identify the given function as polynomial, rational, both or neither.

Convert radians to degrees.

Graph the following function and describe all extrema. Round answers to the nearest hundredth.

An observer, standing on level ground, 100 feet from the bottom of a tower, looks at the top of the tower and notices that his angle of elevation is 0.7 radians. Estimate the height, h, of the tower, rounding your answer to the nearest tenth.

Solve the inequality.

Graph and on the same axes.

Use the vertical line test to determine whether or not the graph is a function.

Identify functions and such that the given function equals

Complete the square and explain how to transform the graph of into the graph of