Chapter 1.02 First, a few thoughts on the text, page 23: first paragraph: note that even for the same situation, we might use different models for different purposes. For example, in predicting CO2 in the atmosphere, in the short term we would include a seasonal term (once-per-year cycle) but for long-term predictions that's not so important. second paragraph: this says "independent and dependent variables", which is certainly common terminology. It's a bit dangerous though if you are thinking statistically, since if two variables are statistically related, you can't call either of them "independent". page 25, middle of the page: "one possibility is the line that passes through the first and last data points." While that is a commonly-thought-of possibility, it's usually not the best one. Note that a better procedure is mentioned on the next page. page 31, Trigonometric Functions: remember to switch your calculator to Radian mode for this class. This is especially important if you're in a physics class at the same time as this class. #1 #2 #3 #4 #6 after you sketch by hand, try typing y=1+m*(x+3) into desmos.com, then when it offers to make a slider out of "m", do it, then slide the slider. #7 #8 part (a) #8 part (b): WEP #9 #10 #11 WEP #12 #13 #14 #15 optional #16 WEP #17 #18 WEP #19 #20 #21 #22 optional #23 optional #25 #26 optional #27 optional #28 optional QA: For each of these, say whether it is a polynomial or not; explain why. i) 3x^(-2) + 5 x^(-1) + 19 x^0 + 57 x^1 ii) 3(x-2)^4 + 12(x-2)^3 + 17*(x-2) + -9 iii) (x-5)(x+7)(x-3)(x+0)(x-2) iv) 2+((11x-4)*x+7)*x v) 3x^1 + 5x^(1/2) + 7x^(1/3) vi) 3^x + 5^x + 7^x vii) 5e^(2x) + 9e^x + 7