(Section 1.8: x=fy()) 1.8.1SECTION 1.8 :x=LEARNING OBJECTIVES• Know how to graph equations of the form x=. • Compare these graphs with graphs of equations of the form y=fx. • Recognize when a curve or an equation describes xas a function of y, and apply the Horizontal Line Test (HLT) for this purpose. • Know basic graphs in this new context. • Adapt rules and techniques for function behavior, symmetry, and transformations to this new context. PART A: DISCUSSION• Sometimes, xis treated as a function of y, and we graph equations of the form x=in the xy-plane. These graphs must pass the Horizontal Line Test (HLT). • The ordered pairswe associate withfare now of the form output, input. • xand yswitch roles. y, not x, is our independent variable, and x, not y,is our dependent variable. Function values correspond to xvalues. • Function evaluations and point-plotting are modified accordingly. The
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