James Dale

2022-01-13

Determine the end behavior of the following transcendental functions by analyzing appropriate limits. Then provide a simple sketch of the associated graph, showing asymptotes if they exist.

$f\left(x\right)=\mathrm{sin}x$

redhotdevil13l3

Beginner2022-01-14Added 30 answers

Step 1

Substitute for x

Simplify

Substitute for x

Simplify

Step 2

Sine is defined on entire domain so we have no vertical asymptotes.

For slant asymptotes, we check the lines.

Using formula

Table limit

Simplify

Therefore, there is no slant asymptote.

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function

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