1.) Given the function in the graph, answer the following questions. g(x) = x³ - 3x g(x) a.) What are the domain and range of the function? Write your answer in interval notation. b.) State the intervals on which the function increasing or decreasing. c.) Identify all relative extrema of g(x). d.) Find the average rate-of-change from x = -1 to x = 1.

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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1.) Given the function in the graph, answer the following questions. g(x) = x³ - 3x
g(x)
a.) What are the domain and range of the function? Write your answer in interval notation.
b.) State the intervals on which the function increasing or decreasing.
c.) Identify all relative extrema of g(x).
d.) Find the average rate-of-change from x = -1 to x = 1.
Transcribed Image Text:1.) Given the function in the graph, answer the following questions. g(x) = x³ - 3x g(x) a.) What are the domain and range of the function? Write your answer in interval notation. b.) State the intervals on which the function increasing or decreasing. c.) Identify all relative extrema of g(x). d.) Find the average rate-of-change from x = -1 to x = 1.
2.) Draw me a function!!!!! Your function should have the following characteristics:
i) The domain is (-∞0,00) and the range is [-4,00).
ii.) The zeros of the function are (-2, 0) and (1,0).
iii) The y-intercept is (0, -4).
iv.) The function increases on (0,00).
v.) The function is neither even nor odd.
vi.) Name your function
The function decreases on (-2,0).
The function is constant on (-∞, -2).
Vertex:
Zeros:
7
3.) Sketch a graph of each transformed absolute value function. State the vertex. What are the zeros?
h(x) = |x-51 +2
(a) √56a¹2 20
4 -2
19
(b)
61
4.) Simplify the radical based on the rules for simplifying radicals in the Snippets from 3 notes.
-2
15
Transcribed Image Text:2.) Draw me a function!!!!! Your function should have the following characteristics: i) The domain is (-∞0,00) and the range is [-4,00). ii.) The zeros of the function are (-2, 0) and (1,0). iii) The y-intercept is (0, -4). iv.) The function increases on (0,00). v.) The function is neither even nor odd. vi.) Name your function The function decreases on (-2,0). The function is constant on (-∞, -2). Vertex: Zeros: 7 3.) Sketch a graph of each transformed absolute value function. State the vertex. What are the zeros? h(x) = |x-51 +2 (a) √56a¹2 20 4 -2 19 (b) 61 4.) Simplify the radical based on the rules for simplifying radicals in the Snippets from 3 notes. -2 15
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