Calculus Book: pp 16-23

Question 1

relation

Answer 1

• between two sets X and Y is a set of ordered paris, each of the form (x,y), where x is a member of X and y is a member of Y

Question 2

function

Answer 2

• from X to Y is a relation between X and Y that has the property that any two ordered pairs with the same x-value also have the same y-value

Question 3

independent variable

Answer 3

• variable x

Question 4

dependent variable

Answer 4

• variable y

Question 5

real-valued function F of a real variable x

Answer 5

• from X to Y is a correspnodence that assigns to each number x in X and exactly one number y in Y

Question 6

domain

Answer 6

• of f is the set X

Question 7

image

Answer 7

• number y is the image of x under f and is dneoted by f(x) which si called the value of f at x

Question 8

range

Answer 8

• subset of Y and consists of all images of numbers in X

Question 9

domain

Answer 9

• set of all values of x for which x-1 is greater than or equal to 0

Question 10

one-to-one function

Answer 10

• function from X to Y where each y-value in the range corresponds exactly one x-value in the domain