(Section 1.2: Graphs of Functions) 1.2.8 PART G: ZEROS (OR ROOTS) and INTERCEPTSThe real zeros(or roots) offare the real solutions of fx()=0, if any. They correspond to the x-interceptsof the graph of y=.WARNING 4:The number 0 may or may notbe a zero off. In this sense, the term “zero” may be confusing. On the other hand, the term “root” might be confused with square roots and such. • The graph of y=can have any number of x-intercepts (possibly none), or infinitely many, depending onf. • We typically focus on real zeros, though we will discuss imaginary zeros in Chapters 2 and 6. The y-interceptof the graph of y=, if it exists, is given by f0or by the point 0,f0.• The graph of y=can have at most one y-intercept. Example 6 (Finding Zeros and Intercepts)
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