Deck 1: Section 3: Preparation for Calculus

Question 1

Find the domain and range of the function .

A) domain:
Range:
B) domain:
Range:
C) domain:
Range:
D) domain:
Range:
E) none of the above

Answer 1

none of the above

Question 2

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even.

A)
B)
C)
D)
E)

Answer 2

Question 3

Specify a sequence of transformations for the function that will yield the graph of h from the graph of the function .

A) The function is a horizontal shift to the right, followed by a vertical shift downwards.
B) The function is a horizontal shift to the left, followed by a vertical shift upwards.
C) The function is a horizontal shift to the left, followed by a horizontal shift to the right.
D) The function is a vertical shift downwards, followed by a horizontal shift to the right.
E) The function is a vertical shift upwards, followed by a horizontal shift to the left.

Answer 3

The function is a horizontal shift to the left, followed by a vertical shift upwards.

Question 4

Determine whether the function is even, odd, or neither.

A) odd
B) even
C) neither

Question 5

Find the domain and range of the function .

A) domain:
Range:
B) domain:
Range:
C) domain:
Range:
D) domain:
Range:
E) domain:
Range:

Question 6

Find the domain and range of the function .

A) domain:
Range:
B) domain:
Range:
C) domain:
Range:
D) domain:
Range:
E) domain:
Range:

Question 7

Determine whether the function is even, odd, or neither.

A) even
B) odd
C) neither

Question 8

Determine the domain and range of the function .

A) domain:
Range:
B) domain:
Range:
C) domain:
Range:
D) domain:
Range:
E) domain:
Range:

Question 9

Evaluate (if possible) the function at . Simplify the result.

A)
B)
C)
D)
E)

Question 10

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd.

A)
B)
C)
D)
E)

Question 11

Let . Evaluate the expression and then simplify the result.

A)
B)
C)
D)
E) undefined

Question 12

Evaluate (if possible) the function at . Simplify the result.

A) -7
B) 17
C) 3
D) 7
E) undefined

Question 13

Let . Then simplify the expression .

A)
B)
C)
D)
E) undefined

Question 14

Determine whether y is a function of x.

A) no
B) yes

Question 15

Evaluate (if possible) the function at . Simplify the result.

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

Question 16

Given and , evaluate .

A)
B)
C)
D)
E)

Question 17

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

A)
B)
C)
D)
E)

Question 18

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

A)
B)
C)
D)
E)

Question 19

Evaluate the function at .

A)
B)
C)
D)
E)

Question 20

Determine whether y is a function of x.

A) no
B) yes

Question 21

An open box of maximum volume is to be made from a square piece of material centimeters on a side by cutting equal squares from the corners and turning up the sides(see figure). What is the domain of the function .

A) domain:
B) domain:
C) domain:
D) domain:
E) domain:

Question 22

The horsepower H required to overcome wind drag on a certain automobile is approximated by where x is the speed of the car in miles per hour. Find . Round the numerical values in your answer to five decimal places.

A)
B)
C)
D)
E)

Question 23

An open box of maximum volume is to be made from a square piece of material 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.

A)
B)
C)
D)
E)