All courses Math III · F-IF.4 21 of 55

Interpret key features of rational, square-root, cube-root, and other function models in context.

Audit contextual x- and y-intercepts with units

Problem

For P(x)=(x-5)/(x+2), where x≥0 is weeks and P is a unitless profit ratio, enter separate x- and y-intercept rows with coordinate/candidate, algebraic-existence and contextual-domain selectors, quantities/units, and a fixed contextual reading when valid.

Your answer

A x-intercept row=coordinate (5,0),algebraically exists yes,in contextual domain yes,input 5 weeks,output profit ratio 0,reading at week 5 the profit ratio is 0; y-intercept row=coordinate (0,-5/2),algebraically exists yes,in contextual domain yes,input 0 weeks,output profit ratio -5/2,reading at week 0 the modeled profit ratio is -5/2 B x-intercept row=coordinate (-5,0),algebraically exists yes,in contextual domain yes,input 5 weeks,output profit ratio 0,reading at week 5 the profit ratio is 0; y-intercept row=coordinate (0,5/2),algebraically exists yes,in contextual domain yes,input 0 weeks,output profit ratio -5/2,reading at week 0 the modeled profit ratio is -5/2 C contextual-domain selectors reversed or assigned without comparing each intercept input to the stated feasible domain D algebraic intercept reported as contextually meaningful without checking feasible input domain

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Audit contextual x- and y-intercepts with units

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Hint

Solution walkthrough

Find the x-intercept

Find the y-intercept

Interpret the x-intercept

Interpret the y-intercept

State the final answer

Another way

Common mistake