1 The graphs of two functions f and g are shown below. 4y 2 -6 -5 -4 -3 -2 2 3. -2 -3 3D Define a function formula for f using the function g. In other words, express the outputs of f in terms of the outputs of g. O f(x) = g(x-5) f(x) = -g(x+5) O f(x) = -g(x-5) f(x) = g(x)+5 O f(x) = -g(x)-5 3.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.6: Transformations Of Functions
Problem 104E
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2.1
The graphs of two functions f and g are shown below.
4 y
-6 -5 -4 -3 -2 -1
3
-2
-3
-4
Define a function formula for f using the function g. In other words, express the outputs of f in terms
of the outputs of g.
f(x) = g(x-5)
O f(x) = -g(x+5)
f(x) = -g(x-5)
O f(x) = g(x)+5
f(x) = -g(x)-5
%3!
3.
2.
Transcribed Image Text:2.1 The graphs of two functions f and g are shown below. 4 y -6 -5 -4 -3 -2 -1 3 -2 -3 -4 Define a function formula for f using the function g. In other words, express the outputs of f in terms of the outputs of g. f(x) = g(x-5) O f(x) = -g(x+5) f(x) = -g(x-5) O f(x) = g(x)+5 f(x) = -g(x)-5 %3! 3. 2.
2. Į The function f has a domain of [0,4] and a range of [0,2].Suppose the function g is defined as g(x) =
f(x) + 7. Determine the domain and range of g.
Domain of g: [7,11]; Range of g: [7,9]
Domain of g: [-7,-3]; Range of g: [-7,-5]
Domain of g: [0,4]; Range of g: [7,9]
Domain of g: [7,11]; Range of g: [0,2]
Domain of g: [0,4]; Range of g: [-7,-5]
Transcribed Image Text:2. Į The function f has a domain of [0,4] and a range of [0,2].Suppose the function g is defined as g(x) = f(x) + 7. Determine the domain and range of g. Domain of g: [7,11]; Range of g: [7,9] Domain of g: [-7,-3]; Range of g: [-7,-5] Domain of g: [0,4]; Range of g: [7,9] Domain of g: [7,11]; Range of g: [0,2] Domain of g: [0,4]; Range of g: [-7,-5]
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