### Chapter 2 Test Topics

Here’s a list of topics that will be covered on this Thursday’s Chapter 2 Test. I've included relevant homework problems to review...

**Evaluating limits from a graph. (Sec. 2.2, #5,7; Sec. 2.6, #3)**

*Chapter 2 Test Topics:*

Evaluating limits at infinity (the Great Battle!) (Sec. 2.6, #13-33 odd,51)

Find horizontal and vertical asymptotes of a rational function. (Sec. 2.6,#37,39,41)

Sketch a discontinuous function and define/explain the discontinuities. (Sec. 2.5,29,39,43)

Find an equation of a tangent line to a curve using a particular method (either x approaches a or h approaches zero). (Sec. 2.7, #5)

Find an equation of a tangent line – any method. (Sec. 2.7, #7,13,17)

Determine “a” to ensure a limit exists for a rational function. (Sec. 2.3, #59)

Determine differentiability of a function at a point. Justify your answer. (Sec. 2.9, #43)

Interpret the meaning of a derivative. (Sec.2.8, #29,31)

Sketch a graph given limit and derivative conditions. (Sec. 2.2, #13; Sec. 2.6, #5,7; Sec. 2.8, #5)

Sketch the derivative of a function given a graph of the original function. (Sec. 2.9, #4,7,9,11)

The last two sketches will be worth a total of 90 points all by themselves, and the test is somewhat long (20 questions). Many of the questions can be answered without a lot of calculations. Be sure to allocate your time wisely!

I’ll be in early on Thursday, and available online after Back to School Night on Wednesday. See you in class!

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