2. Consider the function f(x) = x² and g(x) = 4x − 4. a) Use the table of values to compare the output values for y = f(x), and g(x) given input values of -2, -1, 0, 1, and 2. b) c) d) e) X -2 -1 0 1 ← 2 f(x) = x² g(x) = 4x4 Sketch the graphs of y = f(x), y = g(x), and y = h(x) on the grid provided. h(x) = x² - 4x + 4 How could you use the values in the columns f(x) and g(x) to determine the values in the column for h(x)? How are the y-coordinates on the graph of h(x) related to those on the graphs of f(x) and g(x) ? Determine the values of f(x), g(x), and h(x) when x = 3.

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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2. Consider the function f(x) = x² and g(x) = 4x − 4.
a)
Use the table of values to compare the output values for y = f(x), and g(x) given input values of -2, -1, 0,
1, and 2.
b)
c)
d)
e)
X
-2
-1
0
1
←
2
f(x) = x²
g(x) = 4x4
Sketch the graphs of y = f(x), y = g(x), and y = h(x) on the grid provided.
h(x) = x² - 4x + 4
How could you use the values in the columns f(x) and g(x) to determine the values in the column for h(x)?
How are the y-coordinates on the graph of h(x) related to those on the graphs of f(x) and g(x) ?
Determine the values of f(x), g(x), and h(x) when x = 3.
Transcribed Image Text:2. Consider the function f(x) = x² and g(x) = 4x − 4. a) Use the table of values to compare the output values for y = f(x), and g(x) given input values of -2, -1, 0, 1, and 2. b) c) d) e) X -2 -1 0 1 ← 2 f(x) = x² g(x) = 4x4 Sketch the graphs of y = f(x), y = g(x), and y = h(x) on the grid provided. h(x) = x² - 4x + 4 How could you use the values in the columns f(x) and g(x) to determine the values in the column for h(x)? How are the y-coordinates on the graph of h(x) related to those on the graphs of f(x) and g(x) ? Determine the values of f(x), g(x), and h(x) when x = 3.
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