Deck 1: Section 1: Preparation for Calculus

Question 1

Which of the following is the correct graph of ?

A)
B)
C)
D)
E)

Answer 1

Question 2

The resistance y in ohms of 1000 feet of solid metal wire at can be approximated by the model where x is the diameter of the wire in mils (0.001 in). If the diameter of the wire is doubled, the resistance is changed by approximately what factor? In determining your answer, you can ignore the constant -0.37.

A)
B)
C)
D)
E)

Answer 2

Question 3

Sketch the graph of the equation:

A)
B)
C)
D)
E) none of the above

Answer 3

Question 4

Test for symmetry with respect to each axis and to the origin.

A) symmetric with respect to the origin
B) symmetric with respect to the y-axis
C) symmetric with respect to the x-axis
D) both B and C
E) no symmetry

Question 5

Which of the following is the correct graph of ?

A)
B)
C)
D)
E)

Question 6

Find the sales necessary to break even if the cost C of producing x units is and the revenue R for selling x units is . Round your answer to the nearest integer.

A)
B)
C)
D)
E)

Question 7

Sketch the graph of the equation:

A)
B)
C)
D)
E)

Question 8

Sketch the graph of the equation:

A)
B)
C)
D)
E) none of the above

Question 9

Test for symmetry with respect to each axis and to the origin.

A) symmetric with respect to the origin
B) symmetric with respect to the x-axis
C) symmetric with respect to the y-axis
D) no symmetry
E) A, B, and C

Question 10

The resistance y in ohms of 1000 feet of solid metal wire at 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

A)
B)
C)
D)
E)

Question 11

Find all intercepts:

A) x-intercepts: (-8, 0), (8, 0); no y-intercept
B) x-intercept: (0, 0); y-intercepts: (0, 0), (0, -8), (0, 8)
C) x-intercepts: (0, 0), (-8, 0), (8, 0); y-intercept: (0, 0)
D) x-intercepts: (0, 0), (-8, 0), (8, 0); no y-intercept
E) x-intercepts: (-8, 0), 8; y-intercept: (0, 0)

Question 12

Which of the following is the correct graph of ?

A)
B)
C)
D)
E)

Question 13

Find all intercepts:

A) x-intercepts: ( ,0), ( ,0); y-intercepts: (0, ), (0, 3)
B) x-intercept: (12, 0); y-intercepts: (0, ), (0, 3)
C) x-intercepts: (4, 0), (-3,0); y-intercept: (0, )
D) x-intercepts: ( , 0), ( ,0); y-intercepts: (0, -12), (0, 12)
E) x-intercept: ( , 0); y-intercept: (0, -12)

Question 14

Which of the following is the correct graph of ?

A)
B)
C)
D)
E)

Question 15

Find the points of intersection of the graphs of the equations:

A)
B)
C)
D)
E)

Question 16

Find all intercepts:

A) x-intercepts: (-5, 0), (-2, 0), (2, 0); y-intercepts: (0, 0), (0, 10)
B) x-intercepts: (-5, 0), (2, 0); y-intercept: (0, 10)
C) x-intercepts: (-5, 0), (2, 0); y-intercept: (0, -10)
D) x-intercepts: (-5, 0), (-2, 0), (2, 0); y-intercept: (0, 10)
E) x-intercepts: (-5, 0), (-2, 0), (2, 0); y-intercept: (0, -10)