(c) Is it true that f(19.45) = g(−7.55)? Explain. Yes. Both 19.45 and −7.55 are a whole number of periods away from the given point at which the graphs of f and g intersect. Yes. The value 19.45 is a whole number of periods away from −7.55, which is all that is necessary to guarantee that f(19.45) = g(−7.55). No. Since 19.45 ≠ −7.55, f(19.45) ≠ g(−7.55). No. The value −7.55 is not a whole number of periods away from the given point at which the graphs of f and g intersect. No. The value 19.45 is not a whole number of periods away from the given point at which the graphs of f and g intersect.
(c) Is it true that f(19.45) = g(−7.55)? Explain. Yes. Both 19.45 and −7.55 are a whole number of periods away from the given point at which the graphs of f and g intersect. Yes. The value 19.45 is a whole number of periods away from −7.55, which is all that is necessary to guarantee that f(19.45) = g(−7.55). No. Since 19.45 ≠ −7.55, f(19.45) ≠ g(−7.55). No. The value −7.55 is not a whole number of periods away from the given point at which the graphs of f and g intersect. No. The value 19.45 is not a whole number of periods away from the given point at which the graphs of f and g intersect.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Trigonometric Functions: Unit Circle Approach
Section6.3: Trigonometric Graphs
Problem 1E: If a function f is periodic with period p, then ft+p=________________ for every t. The trigonometric...
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Two trigonometric functions f and g have periods of 3, and their graphs intersect at x = 7.45.
(a)
Give one positive value of x less than 7.45 and one value of x greater than 7.45 at which the functions have the same value.
less than 7.45x=
greater than 7.45x=
(b)
Determine one negative value of x at which the graphs intersect.
x =
(c)
Is it true that f(19.45) = g(−7.55)? Explain.
Yes. Both 19.45 and −7.55 are a whole number of periods away from the given point at which the graphs of f and g intersect.
Yes. The value 19.45 is a whole number of periods away from −7.55, which is all that is necessary to guarantee that f(19.45) = g(−7.55).
No. Since 19.45 ≠ −7.55, f(19.45) ≠ g(−7.55).
No. The value −7.55 is not a whole number of periods away from the given point at which the graphs of f and g intersect.
No. The value 19.45 is not a whole number of periods away from the given point at which the graphs of f and g intersect.
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