Posted by justme on Saturday, September 24, 2011 at 10:52am.
a)predict th erelationship between the graph of y=x^4+x^3 and the graph of y=[(x+3)^4+(x+3)^3]1
b)determine the xintercepts of each function in part aw. round your answer to 1 decimal place
c)give the approximate domain and range of each functin in part a. round your answer to one decimal place

math  Steve, Sunday, September 25, 2011 at 11:37pm
if we rename the two functions f and g, then g(x) = f(x+3)  1
So, the graphs are identical in shape, but g is shifted two units to the left, and up 1.
So, since f(x) = x^3 (x+1) the zeroes are at 0,1
Now, if we draw two new axes, and call them v and v, then the zeroes of g are the solutions to u^4 + u^3  1. That's a little tougher to solve.
A graphing tool will show the approximate ranges. Domain is, of course, all real numbers.
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