determine the slope function of f(x)=|8x|????

Question

 

select and fill out the correct choice below and fill in the answer

A. the slope function is s(X)=???

B. and the slope function is the piecewise function s(X)=........x>........ and ........x<........

Answer 1

Since the graph of 8x is a line with a positive & constant slope 8, intersecting (0,0), then the graph of |8x| is basically the same but its graph on the left of the y axis is inverted with respect to the x axis....So the slope is a piece-wise function:

s(x) = -8 if x<0

s(x) = 8 if x>0