Answer Key Worksheet 3.1-3.2 - Free download as PDF File (.pdf), Text File (.txt) or read online for free. 1. The document provides examples and practice problems for graphing relationships and identifying functions. It includes questions about graphing rainfall, the number of cans collected, and the distance a car travels. 2. One question asks the student to identify the graph that represents ...
Example 1: Use the graph of the function g in the given figure to sketch the graph of the function f. f x g x f x g x f x g x b. a. c. 1 Solution: a. The graph of the function g is reflected about the x-axis, so multiply the y-coordinate in each given ordered pair by 1 and graph the new function f as shown.
Section 2.6: Graphs of Basic Functions . Video 1 . A function is . continuous. over its domain if you can sketch its graph without having to lift your pencil. 1) Draw the graph of a function that has a discontinuity at the given value(s), and state the intervals of continuity. a) x =3. b) x =−1 and . x =5
Students will be able to describe the graph of a function (where the graph is increasing or decreasing, linear or non-linear) ... GRADE 8 - MODULE 6 - FUNCTIONS Answer Key for Questions for 8.F.2 1. The rate of change for the equation is 4. The rate of change for the function table is 4.5. 2.
Problems 12 — 15, Use a graphing utility to graph the function and determine the open intervals on which the function is increasing, decreasing, or constant. Y = Ix—2 Il C; (-112. N) 2/3 12. f(x) : 14. 13. 15. Problems 16 — 19, Use a graphing utility to approximate any relative maximum or relative minimum values of the function.
Solomon Press C1 GRAPHS OF FUNCTIONS Answers - Worksheet B 1 a translated 1 unit in positive x-direction b translated 3 units in negative y-direction c stretched by a factor of 2 in y-direction d stretched by a factor of 1 4 in x-direction e reflected in the x-axis f stretched by a factor of 1 5 in y-direction g reflected in the y-axis h stretched by a factor of 3
interpret key features ... and sketch graphs showing key features… . Also A-CED.A.2, F-IF.B.6, S-ID.B.6 Mathematical Practices MP.7 Using Structure Language Objective Explain to a partner where the local maximum and minimum values are on a graph of a function, and where the zero of a function is located on its graph. CORE COMMON CORE
Use the graph of h to find the domain and range of each function. Y = h(x) 4. Use the graph of the function to find its y-intercept and zeros. Then find these values algebraically. y-int: —8, zero: 2; f(O) = Use the graph of each equation to test for symmetry with respect to the x-axis, y-axis, and the origin. Support the answer numerically.
For 1‐12, name the basic function shown and write the equation. Try not to look back at your notes if possible. ... problems will have more than one correct answer, so do your best to explain. 27. The volume of a sphere depends on its radius ... 33. Sketch (freehand) a graph of a function B with ...
It appears that the graph of the function is symmetric with respect to the y-axis. Test this conjecture. The function is even because f(±x) = f(x). Therefore, the graph of the function is symmetric with respect to the y-axis. Use the graph of each function to estimate the indicated function values. a. f(í2) b. f(í6) c. f(0) 62/87,21 a. The ...
Twelve Basic Functions Below are the graphs of twelve functions along with domain, range, continuity, increasing/decreasing intervals, symmetry, boundedness, extrema, asymptotes and end behvior. Also please note that is the set of integers. Identity Function Domain: Range: Continuous Increasing: Decreasing: None Symmetry: origin (odd function)
Graph the function . Then answer the following questions: (a) On what interval is the function increasing? On what interval is it decreasing? (b) Is the function odd, even, or neither? (c) Does the function have any extrema? (d) How does the graph relate to the graph of the basic function ? SOLUTION The graph is shown in Figure 1.51. y = x2 y ...
Answer: Solution: 10. Solution: Exercises 11 Function as a Composition Function F is given. Find two functions f and g so ... 11. Answer: Solution: 5 Exercises 12 Graphs Draw graphs of g(x) = x2 – 4x – 2 and f ° g for the given function f. Before you draw the graphs, predict how they are related. See Section 2.3. 12. Solution: Title ...
CHAPTER 1 - A Library of Functions. Interesting Graphs - A few equations to graph that have interesting (and hidden) features. pdf doc ; Functions - Properties of functions and the Rule of Four (equations, tables, graphs, and words). pdf doc ; Reading a Position Graph - Answer questions about motion using a position graph. pdf doc
Always verify your inverse function by composing it with the original function. Graphing Inverse Functions. When restricting domains, consider the function’s behavior and choose intervals that ensure one-to-one correspondence. Remember that different domain restrictions can lead to different inverse functions for the same original function.
