Deck 1: Functions

Question 1

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

A) Function
B) Not a function

Answer 1

B

Question 2

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

Answer 2

B

Question 3

Find the domain and range of the function.

Answer 3

A

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

Question 6

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

Question 7

Find the domain and range of the function.

Question 8

Find the domain and range of the function.

Question 9

Find the domain and range of the function.

Question 10

Find the domain and range of the function.

Question 11

Find the domain and range of the function.

Question 12

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

A) Function
B) Not a function

Question 13

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

A) Function
B) Not a function

Question 14

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

A) Function
B) Not a function

Question 15

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.

Question 16

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

A) Function
B) Not a function

Question 17

Find the domain and range of the function.

Question 18

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

A) A = 2x

D) A = 4x

Question 19

Find the domain and range of the function.

Question 20

Find the domain and range of the function.

Question 21

Graph the function.

Question 22

Graph the function.

Question 23

Find the domain and graph the function.

Question 24

Find a formula for the function graphed.

Question 25

Find the domain and graph the function.

Question 26

Find the formula for the function.
A point P in the fourth quadrant lies on the graph of the function f(x) = -x2. Express the slope of the line joining P to the origin as a function of x.

Question 27

Find the domain and graph the function.

Question 28

Find the domain and graph the function.

Question 29

Find a formula for the function graphed.

Question 30

Find a formula for the function graphed.

Question 31

Find the formula for the function.
A point P in the first quadrant lies on the graph of the function f(x) = x2. Express the slope of the line joining P to the origin as a function of x.

Question 32

Find the domain and graph the function.

Question 33

Graph the function.

Question 34

Find a formula for the function graphed.

Question 35

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

Question 36

Graph the function.

Question 37

Find the domain and graph the function.
f(x) = 4x + 9

Question 38

Graph the function.

Question 39

Find a formula for the function graphed.

Question 40

Graph the function.

Question 41

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

Question 42

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

Question 43

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

Question 44

Find a formula for the function graphed.

Question 45

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

Question 46

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

Question 47

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

Question 48

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

Question 49

Find a formula for the function graphed.

Question 50

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

Question 51

Find a formula for the function graphed.

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

Determine if the function is even, odd, or neither.
f(x) = -6

A) Even
B) Odd
C) Neither

Question 56

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

Question 57

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

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

Question 61

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

A) Even
B) Odd
C) Neither

Question 62

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

Question 63

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

A) Even
B) Odd
C) Neither

Question 64

Provide an appropriate response.

Question 65

Question 66

The kinetic energy K of a mass is proportional to the square of its velocity v. If K = 14,450 joules when v = 17 m/sec, what is K when v = 13 m/sec?

A) 8450
B) 6760
C) 10,140
D) 9295

Question 67

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

A) Even
B) Odd
C) Neither

Question 68

A power plant is located on a river that is 600 feet wide. To lay a new cable from the plant to a location in a city 2 miles downstream on the opposite side costs $225 per foot across the river and $150 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 69

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

Question 70

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

A) Even
B) Odd
C) Neither

Question 71

The variable s is proportional to t, and s = 50 when t = 150. Determine t when s = 75.

A) 3
B) 300
C) 225
D) 215

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.
f(x) = (x - 5)(x + 8)

A) Even
B) Odd
C) Neither

Question 74

The figure shown here shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 8 units long. Express the area A of the rectangle in terms of x.

A) A(x) = 2x(4 - x)
B) A(x) = 2x(x - 4)
C) A(x) = 2x2
D) A(x) = x(4 - x)

Question 75

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 inches by 29 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.

A) V(x) = x(12 - x)(29 - x)
B) V(x) = (12 - x)(29 - x)
C) V(x) = (12 - 2x)(29 - 2x)
D) V(x) = x(12 - 2x)(29 - 2x)

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

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

Question 80

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

A) Even
B) Odd
C) Neither