Problem 1RE Problem 2RE: In Problems 1 and 2, determine whether each relation represents a function. For each function, state... Problem 3RE: In Problems 3–5, find the following for each function:
3.
Problem 4RE: In Problems 3–5, find the following for each function:
4.
Problem 5RE: In Problems 3–5, find the following for each function:
5.
Problem 6RE: In Problems 6-11, find the domain of each function.
6.
Problem 7RE: In Problems 6–11, find the domain of each function.
7.
Problem 8RE: In Problems 6–11, find the domain of each function.
Problem 9RE: In Problems 6–11, find the domain of each function.
Problem 10RE: In Problems 6–11, find the domain of each function.
10.
Problem 11RE: In Problems 6–11, find the domain of each function.
11.
Problem 12RE: In Problems 12–14, find f + g, f – g, f · g, and for each pair of functions. State the domain of... Problem 13RE: In Problems 12–14, find f + g, f – g, f · g, and for each pair of functions. State the domain of... Problem 14RE: In Problems 12–14, find f + g, f – g, f · g, and for each pair of functions. State the domain of... Problem 15RE: Find the difference quotient of f(x) = −2x2 + x + 1; that is, find , h ≠ 0.
Problem 16RE: Consider the graph of the function f on the right.
Find the domain and the range of f.
List the... Problem 17RE: Use the graph of the function f shown to find:
The domain and the range of f.
The intervals on which... Problem 18RE: In Problems 18–21, determine (algebraically) whether the given function is even, odd, or neither.
Problem 19RE: In Problems 18–21, determine (algebraically) whether the given function is even, odd, or neither.
Problem 20RE: In Problems 18–21, determine (algebraically) whether the given function is even, odd, or neither.
Problem 21RE: In Problems 18–21, determine (algebraically) whether the given function is even, odd, or neither.
Problem 22RE: In Problems 22 and 23, use a graphing utility to graph each function over the indicated interval.... Problem 23RE: In Problems 22 and 23, use a graphing utility to graph each function over the indicated interval.... Problem 24RE:
Find the average rate of change of f(x) = 8x2 − x:
(a) From 1 to 2 (b) From 0 to 1 (c) From 2 to 4
Problem 25RE:
In Problems 25 and 26, find the average rate of change from 2 to 3 for each function f. Be sure to... Problem 26RE:
In Problems 25 and 26, find the average rate of change from 2 to 3 for each function f Be sure to... Problem 27RE: In Problems 27 and 28, is the graph shown the graph of a function?
27.
Problem 28RE: In Problems 27 and 28, is the graph shown the graph of a function?
28.
Problem 29RE:
In Problems 29 and 30, graph each function. Be sure to label at least three points.
29.
Problem 30RE:
In Problems 29 and 30, graph each function. Be sure to label at least three points.
30.
Problem 31RE: In Problems 31–36, graph each function using the techniques of shifting, compressing or stretching,... Problem 32RE: In Problems 31–36, graph each function using the techniques of shifting, compressing or stretching,... Problem 33RE: In Problems 31–36, graph each function using the techniques of shifting, compressing or stretching,... Problem 34RE: In Problems 31–36, graph each function using the techniques of shifting, compressing or stretching,... Problem 35RE: In Problems 31–36, graph each function using the techniques of shifting, compressing or stretching,... Problem 36RE: In Problems 31–36, graph each function using the techniques of shifting, compressing or stretching,... Problem 37RE: In Problems 37 and 38:
Find the domain of each function.
Locate any intercepts.
Graph each... Problem 38RE: In Problems 37 and 38:
Find the domain of each function.
Locate any intercepts.
Graph each... Problem 39RE: A function f is defined by
If f(1) = 4, find A.
Problem 40RE: Constructing a Closed Box A closed box with a square base is required to have a volume of 10 cubic... Problem 41RE: Area of a Rectangle A rectangle has one vertex in quadrant I on the graph of y = 10 − x2, another at... Problem 1CT: Determine whether each relation represents a function. For each function, state the domain and the... Problem 2CT: In Problems 2–4, find the domain of each function and evaluate each function at x = −1.
2.
Problem 3CT: In Problems 2–4, find the domain of each function and evaluate each function at x = −1.
3.
Problem 4CT: In Problems 2–4, find the domain of each function and evaluate each function at x = −1.
4.
Problem 5CT: Consider the graph of the function f below.
Find the domain and the range of f.
List the... Problem 6CT: Use a graphing utility to graph the function f(x) = −x4 + 2x3 + 4x2 − 2 on the interval [−5, 5].... Problem 7CT: Consider the function
Graph the function.
List the intercepts.
Find g(−5).
Find g(2).
Problem 8CT: For the function f(x) = 3x2 − 2x + 4, find the average rate of change of f from 3 to 4.
Problem 9CT: For the functions f(x) = 2x2 + 1 and g(x) = 3x − 2, find the following and simplify.
(f − g) (x)
(f... Problem 10CT: Graph each function using the techniques of shifting, compressing or stretching, and reflecting.... Problem 11CT: The variable interest rate on a student loan changes each July 1 based on the bank prime loan rate.... Problem 12CT Problem 1CR Problem 2CR Problem 3CR Problem 4CR Problem 5CR Problem 6CR Problem 7CR Problem 8CR Problem 9CR Problem 10CR Problem 11CR Problem 12CR Problem 13CR Problem 14CR Problem 15CR Problem 16CR Problem 17CR Problem 18CR Problem 19CR format_list_bulleted