1. Refer to the graphs of the functions f and g below to answer the following qu
ID: 2884941 • Letter: 1
Question
1. Refer to the graphs of the functions f and g below to answer the following questions. 6 4 | |5 |6 |7 |8 2 (a) State the domain and range of f and g. (b) Find the following function values: f()2)+9)(-4), (g-13 ), (fo)(-7), (9/f)(6), (go f(-8), (fo g)(-6) (c) Find all for which f(x) 5/2. (d) Solve the inequality g(x) s 0. (e) What are the a- and y- intercepts of f? of g? (f) What are the turning points of f? of g? (g) On what interval(s) is the function f increasing? decreasing? (h) On what interval(s) is the function g increasing? decreasing? (i) What are the maximum and minimum values of f? of g? G) Find the average rate of change of the fiunctions f and g on the interval |-2,2 (k) Do the functions f and g exist? Why or why not?Explanation / Answer
Solved the first four questions as per Chegg guidelines, post multiple question to get the remaining answers
(a) Domain is defined as the interval where the function is defined
Domain of f(x) = [-8,8]
Domain of g(x) = [-8,7]
(b)
f(1) = 2.5
g(-2) = 3.5
(f+g)(-4) = f(-4) + g(-4) = -2 + 3.5 = 1.5
(g-f)(-3) = g(-3) - f(-3) = 4 - (-1.5) = 5.5
(fg)(-7) = f(-7)g(-7) = -3 * (-1.2) = 3.6
(g/f)(6) = g(6)/f(6) = -2/(-3/2) = 4/3
gof(-8) = g(f(-8)) = g(-0.8) = 2.25
(fog)(-6) = f(g(-6)) = f(-2) = 0
c)
The value of f(x) = 5/2 occurs at the three points
x = -7,-1,1
d)
The graph g(x) is less than zero in the interval
[-8,-7] U [4,7]
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