Sketch the graphs of $y=3-e^x$ and $y=|x+2|$ on the same diagram, indicating clearly the coordin

Question

Sketch the graphs of $y=3-e^x$ and $y=|x+2|$ on the same diagram, indicating clearly the coordinates of the points of intersection of the graphs and equations of any asymptotes. Hence solve the inequality $3-e^x<|x+2|$.[4]

Accepted Answer

$x0$; intersections $(-4.99,2.99)$, $(0,2)$; asymptote $y=3$.

2026 CJC Promo Q1

2026 CJC Promo Q1

Solution:

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