Deck 2: Functions

Question 1

Find the domain and range of the function.

Answer 1

B

Question 2

Find the domain and range of the function.

Answer 2

C

Question 3

Determine whether or not the graph is a graph of a function of x.

A) Not a function
B) Function

Answer 3

B

Question 4

Determine whether or not the graph is a graph of a function of x.

A) Function
B) Not a function

Question 5

Find the domain and range of the function.

Question 6

Find the domain and range of the function.

Question 7

Find the formula for the function.
Express the area of a circle as a function of its radius r.

A) A = 2 r
B) A = r

Question 8

Find the domain and range of the function.

Question 9

Find the formula for the function.
Express the perimeter of a square as a function of the square's side length x.

A) p = 4x

D) p = 6x

Question 10

Find the domain and range of the function.

Question 11

Determine whether or not the graph is a graph of a function of x.

A) Not a function
B) Function

Question 12

Find the domain and range of the function.

Question 13

Find the domain and range of the function.

Question 14

Find the formula for the function.
Express the area of a square as a function of its side length x.

A) A = 4x
C) A = 2x

Question 15

Find the formula for the function.
Express the length d of a square's diagonal as a function of its side length x.
B) d = 2x
D) d = x

Question 16

Determine whether or not the graph is a graph of a function of x.

A) Function
B) Not a function

Question 17

Determine whether or not the graph is a graph of a function of x.

A) Not a function
B) Function

Question 18

Find the domain and range of the function.

A) D: (-5,5), R: (-5,5)
C) D: [-5,5], R: [0,5]

Question 19

Determine whether or not the graph is a graph of a function of x.

A) Function
B) Not a function

Question 20

Find the formula for the function.
Express the perimeter of an isosceles triangle with side lengths x, 5x, and 5x as a function of the side length.

A) p = 10x

D) p = 11x

Question 21

Find a formula for the function graphed.

Question 22

Graph the function.

Question 23

Graph the function.

Question 24

Graph the function.

Question 25

Find a formula for the function graphed.

Question 26

Find a formula for the function graphed.

Question 27

Find a formula for the function graphed.

Question 28

Find the domain and graph the function.

Question 29

Find the domain and graph the function.

Question 30

Find the formula for the function.
A point P in the fourth quadrant lies on the graph of the function f(x) . Express the slope of the line joining P to the origin as a function of x.
B) m = x
C) m = -2x
D) m = -x

Question 31

Graph the function.

Question 32

Find the formula for the function.
Express the volume of a sphere as a function of its radius r.

Question 33

Find the domain and graph the function.

Question 34

Graph the function.

Question 35

Find the formula for the function.
A point P in the first quadrant lies on the graph of the function f . Express the slope of the line joining P to the origin as a function of x.

A) m = 2x
C) m = x

Question 36

Find the domain and graph the function.

Question 37

Find a formula for the function graphed.

Question 38

Find the domain and graph the function.
f(x) = 8x + 4

Question 39

Graph the function.

Question 40

Find the domain and graph the function.

Question 41

Graph the function. Specify the intervals over which the function is increasing and the intervals where it is decreasing.

Question 42

Graph the function. Determine the symmetry, if any, of the function.

Question 43

Find a formula for the function graphed.

Question 44

Graph the function. Determine the symmetry, if any, of the function.

Question 45

Determine if the function is even, odd, or neither.
f(x) = 3

A) Even
B) Odd
C) Neither

Question 46

Graph the function. Determine the symmetry, if any, of the function.

Question 47

Graph the function. Specify the intervals over which the function is increasing and the intervals where it is decreasing.

Question 48

Find a formula for the function graphed.

Question 49

Graph the function. Determine the symmetry, if any, of the function.

Question 50

Find a formula for the function graphed.

Question 51

Graph the function. Specify the intervals over which the function is increasing and the intervals where it is decreasing.

Question 52

Graph the function. Specify the intervals over which the function is increasing and the intervals where it is decreasing.

Question 53

Graph the function. Specify the intervals over which the function is increasing and the intervals where it is decreasing.

Question 54

Graph the function. Specify the intervals over which the function is increasing and the intervals where it is decreasing.

Question 55

Graph the function. Specify the intervals over which the function is increasing and the intervals where it is decreasing.

Question 56

Graph the function. Determine the symmetry, if any, of the function.

Question 57

Graph the function. Determine the symmetry, if any, of the function.

Question 58

Graph the function. Specify the intervals over which the function is increasing and the intervals where it is decreasing.

Question 59

Graph the function. Determine the symmetry, if any, of the function.

Question 60

Graph the function. Determine the symmetry, if any, of the function.

Question 61

Solve the problem.
The figure shown here shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 10 units long. Express the area A of the rectangle in terms of x.

Question 62

Solve the problem.
A power plant is located on a river that is 650 feet wide. To lay a new cable from the plant to a location in a city 2 miles downstream on the opposite side costs $175 per foot across the river and $125 per foot along the land.
Suppose that the cable goes from the plant to a point Q on the opposite side that is x feet from the point P
Directly opposite the plant. Write a function C(x) that gives the cost of laying the cable in terms of the distance x.

Question 63

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

A) Even
B) Odd
C) Neither

Question 64

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

A) Even
B) Odd
C) Neither

Question 65

Solve the problem.
A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 11 inches by 27 inches by cutting out equal squares of side x at each corner and then folding up the sides as in the figure.
Express the volume V of the box as a function of x.

Question 66

Provide an appropriate response.

Question 67

Solve the problem.
The variable s is proportional to t, and s = 40 when t = 120. Determine t when s = 65.

A) 195
B) 3
C) 185
D) 260

Question 68

Match the equation with its graph.

Question 69

Solve the problem.

Question 70

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

A) Even
B) Odd
C) Neither

Question 71

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

A) Even
B) Odd
C) Neither

Question 72

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

A) Even
B) Odd
C) Neither

Question 73

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

A) Even
B) Odd
C) Neither

Question 74

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

A) Even
B) Odd
C) Neither

Question 75

Match the equation with its graph.

Question 76

Provide an appropriate response.

Question 77

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

A) Even
B) Odd
C) Neither

Question 78

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

A) Even
B) Odd
C) Neither

Question 79

Match the equation with its graph.

Question 80

Solve the problem.
The kinetic energy K of a mass is proportional to the square of its velocity v. If K = 4320 joules when v = 12 m/sec, what is K when v = 8 m/sec?

A) 1280 joules
B) 2560 joules
C) 1920 joules
D) 2240 joules