1 To the right is a graph of y = f(x). a. On the same axis as f(x), draw and label a new function g(x) which is formed by translating f(x) 5 units to the right and 3 units down. b. Write the equation for g(x) in terms of f(x). B60) - f(x-5)-3 c. Is g(x) odd, even or neither? Justify your answer.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.2: Graphs Of Exponential Functions
Problem 3SE: The graph of f(x)=3x is reflected about the y-axisand stretched verticallyby a factor of 4. What...
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Help please with this sheet. Thanks!!
y
1. To the right is a graph of y = f(x).
On the same axis as f(x), draw and
label a new function g(x) which is
formed by translating f(x) 5 units to
the right and 3 units down.
a.
b. Write the equation for g(x) in terms
of f(x).
f(x-5)-3
g(x) =
с.
Is g(x) odd, even or neither? Justify your answer.
d. Name the interval(s) for which g(x) is increasing.
e. Name the domain and range of g(x).
Domain : -3, 13]
3.5
Range : [to, ]
Transcribed Image Text:y 1. To the right is a graph of y = f(x). On the same axis as f(x), draw and label a new function g(x) which is formed by translating f(x) 5 units to the right and 3 units down. a. b. Write the equation for g(x) in terms of f(x). f(x-5)-3 g(x) = с. Is g(x) odd, even or neither? Justify your answer. d. Name the interval(s) for which g(x) is increasing. e. Name the domain and range of g(x). Domain : -3, 13] 3.5 Range : [to, ]
3. The function f(x) is shown graphed below only for positive x's.
p belw along
Explain how you made your choice.
y
(a) If f(x) is an even function, graph the
other portion of f(x) for the
negative x's.
(b) Based on the entire graph of f(x),
over what interval(s) isf (x) > 0?
(5,5)
c) What is the average rate of change
of f(x) for [-7, 5]?
Transcribed Image Text:3. The function f(x) is shown graphed below only for positive x's. p belw along Explain how you made your choice. y (a) If f(x) is an even function, graph the other portion of f(x) for the negative x's. (b) Based on the entire graph of f(x), over what interval(s) isf (x) > 0? (5,5) c) What is the average rate of change of f(x) for [-7, 5]?
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