Chapter 1.01 part 1

If you see MTH/MTHT next to a problem, that means it is recommended just for Math majors/minors (MTH) and secondary-ed-math people (MTHT).

"WEP" stands for Week-End Problem: a problem that, while important for a complete understanding of the subject,
is not necessary to accomplish before moving on to the next section of the book.  This helps us with the imbalance
of having most classes only 24 hours apart, but then a lot of time on the weekend.

#1 MTH/MTHT
#2 MTH/MTHT
#3
#4
#5

#7
#8
#9
#10

#23 WEP
#24 WEP
#25 I'd be the first to say this problem is boring, but it requires ESSENTIAL ALGEBRA SKILLS that you will
need in the rest of calculus. MAKE SURE YOU GET THIS ONE RIGHT!
#26 
#27 Again, #27-#30 are boring but ESSENTIAL to future understanding.
#28
#29
#30

#31 
#32 
#33 
#34
#35 WEP
#36 WEP
#37 WEP
#38
#39
#40
#41
#42
#43
#44
#45
#46
#47 To type this into Wolfram Alpha, use
(x+2)*(x<0) + (1-x)*(x >= 0)
This uses a neat trick: a test like x<0 will return either a 0 or a 1; a 1 if the test is true,
and a 0 otherwise. The >= is the way you type the greater-than-or-equal-to sign in many programs,
like Excel, Desmos.com, Java, etc.

To type this into a TI calculator, type the same thing as above, using the
the TEST menu (2nd Math) to enter the < or the greater-than-or-equal-to

#48 WEP
#49 
#50 WEP
#51 Even though the answer in the back is in slope-intercept form, make sure
you practice this one with point-slope form.
#52
#53
#54
#55 Point-slope form is important here too.
#56

#69
#70
#71 sketching a quick graph will help!
#72
#73
#74
#75
#76
#77
#78

QA stands for "Question A", QB for "Question B", etc.
Most homeworks will have some of these questions on important topics that the book didn't cover.
Sometimes it's best to do one of these problems between two of the book exercises, so always look at them first to see if there's a preferred sequence.

QA: (WEP) A function is called "non-decreasing" or "weakly increasing" if f(x1)<=f(x2) whenever x1 < x2 in some interval. Draw an example of a graph that is nondecreasing but is not increasing, according to the book's definition of increasing.

QB: (WEP) Read this important information: What the book defines as "increasing", some people would call "strictly increasing"--these people use "increasing" to mean "non-decreasing" or "weakly increasing". Done! Wasn't that an easy problem?