1. Which relation is a function?A. {(x, y) | Ixl + 1 = 5}B. {(x, y) | 2x? – y? = 1}C. {(x, y) | x-2 sy}D. {(x, y) | 5x2 + y = 2y – x}2. Which of the following is a graph of a function?C.A.D.x2-x-23. The graph of the function f(x) = ;has vertical asymptote/s with equation2x2+x-1C. x =A. x = 1B. x = -1D. x =; & x = -11. Consider the function defined by:(x² – 1, if x > 1f(x) = {2,(2x+3, if x < 1if x = 1What is f(-1)?A. -1C.1В. ОD. 2B.

A relation is function if we have for each input there is exactly one output As per our guidelines…

Answered: 1. Which relation is a function? A.…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Find the domain of the following function. f(x.y) = /80 - 5x2 - 5y? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. {(xy): x +y² 2} O B. {(x.y): x+ and y } (Use a comma to separate answers as needed.) OC. {{x.y): x + y² s} O D. {(x.y): x? +y² ÷| O E. R?
Given that A = {1, 2, 3, 4, 5} and B = {x, y, z}, determine which of the sets of ordered pairs represents a function from A to B. Explain the reason(s) why or why not for each i) {(1, z), (2, x), (3, y), (2, x)} ii) {(1, z), (3, y), (2, x), (4, x), (5, 5)} iii) {(1, y), (2, y), (5, x), (3, y), (4, y)} Which of the following graphs represent y as a functionof x? Explain the reason(s) why or why not for each ii)
4. The function D(t) shown below represents Sally's distance from home over a 30-minute time period. 20+ 18+ 16+ 14- 12+ 10+ 8- 6 + 20 25 30 Time (minutes) a. Identify the vertical intercept of D(t). Write it as an ordered pair and explain its meaning in this situation. b. Identify the horizontal intercepts of D(t). Write them as an ordered pairs and explain their meaning in this situation. c. Determine D(15) and interpret its meaning in a complete sentence. d. For what value of t is D(t) = 5? Write a sentence explaining the meaning of your answer. e. Determine the practical domain of D(t). f. Determine the practical range of D(1). Distance from home (miles) 10
For #33-41, match the numbered functions with their lettered graphs. 33.) r? 34.) r² +1 35.) (r+ 1)² 36.) (r+ 1)² + 1 37.) (r + 1)² – 1 38.) (r – 1)? + 1 39.) (r – 1)² – 1 40.) –(x + 1)² 41.) -(z – 1)? A.) B.) C.) D.) E.) F.) G.) H.) I.) to
6. If f(x) = −2|x+1| +6 a) Find the x- and y-intercepts. b) Graph the function. c) Using interval notation, write the domain and range for the decreasing side of the function.
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1. Which relation is a function? A. {(x, y) | |x| + 1 = 5} B. {(x, y) | 2x? - y? = 1} C. {(x, y) | x-2 s y} D. {(x, y) | 5x2 + y = 2y - x}