Blue Book Math p.369 #8

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1

<p>There's a graph that I can't put in here for obvious reasons.</p>

<p>Question reads: The figure above shows a portion of the graph of the function f. If f(x+5) =f(x) for all values of x, then f(x)=0 for how many different values of x between 0 and 12.</p>

<p>I'll do the best to describe the graph..</p>

<p>Domain is (0,6) as shown in the picture. From x=0 to x=1 the graph is a horiz. line. From x=1 to x=2, it is a line with positive slop that contains a zero. From x=2 to x=3, it is another line with a zero, this time with negative slope. Then before it gets to x=3 it starts to go positive until x=4. There is a zero at x=3. Then there is a line with negative slope from x=4 to x=5 where there is one zero in that interval. finally from x=5 to x=6 there is a horiz line. </p>

<p>Seemed so dumb that I just typed that all out but oh well. So in total there are 4 zero's. I really don't know how to approach this.</p>

<p>THANKS</p>

2

<p>read the question carefully. it shows a portion of the graph and that "if" statement means that the pattern repeats. see how after x=5 u have a horizontal line...just like the horizontal like at x=0? so by x= 10 there are 8 zeroes. and the question asks about x between 0 and 12. so the answer should be nine. Or answer choice (B)</p>

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<p>yeah i said eight because there are 4 zeros and it repeats so 4x2=8</p>