Blitzer - College Algebra 8th Edition

Ch. 2 - Functions and Graphs

Back

All textbooks

Blitzer 8th Edition

Ch. 2 - Functions and Graphs

Section 2.1

Problem 7

In Exercises 1–10, determine whether each relation is a function. Give the domain and range for each relation. {(-3, -3), (-2, −2), (−1, −1), (0, 0)}

Problem 9

In Exercises 1–10, determine whether each relation is a function. Give the domain and range for each relation. {(1, 4), (1, 5), (1, 6)}

Problem 11

In Exercises 11–26, determine whether each equation defines y as a function of x. x + y = 16

Problem 17

In Exercises 11–26, determine whether each equation defines y as a function of x. x = y²

Problem 20

Determine whether each equation defines y as a function of x. $y = - \sqrt{x + 4}$

Problem 24

In Exercises 11–26, determine whether each equation defines y as a function of x. xy - 5y =1

Problem 25

In Exercises 11–26, determine whether each equation defines y as a function of x. |x| − y = 2

Problem 33a

Evaluate each function at the given values of the independent variable and simplify. $f (r) = \sqrt{r + 6} + 3$

$a period f of negative 6$

Problem 33c

Evaluate each function at the given values of the independent variable and simplify. $f (r) = \sqrt{r + 6} + 3$

$a period f of open paren x minus 6 close paren$

Problem 39

Graph the given functions, f and g, in the same rectangular coordinate system. Select integers for x, starting with -2 and ending with 2. Once you have obtained your graphs, describe how the graph of g is related to the graph of f. f(x) = x, g(x) = x + 3

Problem 41

Problem 45

Problem 46

In Exercises 39–50, graph the given functions, f and g, in the same rectangular coordinate system. Select integers for x, starting with -2 and ending with 2. Once you have obtained your graphs, describe how the graph of g is related to the graph of f. f(x)= |x|, g(x) = |x| +1

Problem 54

In Exercises 51–54, graph the given square root functions, f and g, in the same rectangular coordinate system. Use the integer values of x given to the right of each function to obtain ordered pairs. Because only nonnegative numbers have square roots that are real numbers, be sure that each graph appears only for values of x that cause the expression under the radical sign to be greater than or equal to zero. Once you have obtained your graphs, describe how the graph of g is related to the graph of f. f(x) = √x (x = 0, 1, 4, 9) and g (x) = √(x + 2) (x = = −2, −1, 2, 7)