2 Consider the graph of the basic quartic function m(x) = x¹. The function h(x)=(x-6) is a transformation of m(x). Complete the table. Corresponding Points on h(x) Reference Points on m(x) (x, y) (-2,16) (-1,1) (0, 0) (1,1) (2,16) - - -8 -m(x) -4 2+ 18+ 14 + 0 4 8

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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2 Consider the graph of the basic quartic function m(x) = x^.
(a) The function h(x)=(x-6) is a transformation of m(x). Complete the table.
У А
Points on m(x)
(X,Y)
(-2,16)
(-1, 1)
(0, 0)
(1, 1)
(2, 16)
11
Corresponding
Points on h(x)
STRETCH Optional
> Consider the graph of f(x).
1 Determine the end behavior of f(x).
2 Determine the x-intercepts.
3 Determine the domain and range of f(x).
-8
4 When you restrict the domain to -3 < x < 2,
what are the maximum and minimum values
of the function?
m(x)
f(x)
-4
b) Graph the function h(x) = (x-6)4 on the same coordinate plane as m(x).
Is the function h(x) even, odd, or neither? Explain your reasoning.
-4 -2
2-
8+
4
YA
40+
30-
20-
-20
10-
-30
O
-10-
0
2
4
4
8 X
Transcribed Image Text:2 Consider the graph of the basic quartic function m(x) = x^. (a) The function h(x)=(x-6) is a transformation of m(x). Complete the table. У А Points on m(x) (X,Y) (-2,16) (-1, 1) (0, 0) (1, 1) (2, 16) 11 Corresponding Points on h(x) STRETCH Optional > Consider the graph of f(x). 1 Determine the end behavior of f(x). 2 Determine the x-intercepts. 3 Determine the domain and range of f(x). -8 4 When you restrict the domain to -3 < x < 2, what are the maximum and minimum values of the function? m(x) f(x) -4 b) Graph the function h(x) = (x-6)4 on the same coordinate plane as m(x). Is the function h(x) even, odd, or neither? Explain your reasoning. -4 -2 2- 8+ 4 YA 40+ 30- 20- -20 10- -30 O -10- 0 2 4 4 8 X
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