Please help me solve the below problem. 14 pts. 5. Use exact values in your answ

Question

Please help me solve the below problem.

14 pts. 5. Use exact values in your answers. Consider the graph of the function f(x): 10 1 pt. A. Find the domain. Use interval notation 1 pt. B. Find the range. Use interval notation. 2 pts. C. Solve f(x)-1 1 pt. D. Find the x intercept(s) 1 pt. E. Is f(x) even, odd, or neither? 2 pts. F. Determine where f(x) is increasing. Use interval notation for your answer 2 pts. G. Determine where f(x) is decreasing. Use interval notation for your answer 4 pts. H. Graph y 2f(x + 1) + 3. Be sure to clearly label your axes with the scale used

Explanation / Answer

A. Domain

x values are from -13 to 13. So domain [-13,13]

B. range

y values are from -6 to 6. So range [-6,6]

C.f(x)=1

y is 1 when x=0.5,5.5,13

D. x intercepts

y is 0 at x=-6,6

So x intercept (-6,0),(6,0)

E.Since the graph is reflected across origin. SO the function is odd.

F.The graph goes up in (-13,-6)U(-3,3)U(6,13) , and that's the increasing interval .

G.The graph goes down in (-6,-3)U(3,6) , and that's the decreasing interval .

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