Sketch the graph of a function f for which f(0) = -1, f '(0)=0, f '(x) < 0 if x < 0, and f '(x) > 0 if x > 0

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step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

d. corresponding side lengths in similar triangles are proportional in length.

step-by-step explanation: