SO, WHAT'S ON THE NEXT TEST?
SO, WHERE CAN I FIND IT IN THE TEXTBOOK?
SO, WHEN DID WE DO THAT?
http://www.mathnstuff.com/math/mcc/mccsp20/129up2test2.txt
(c) 2020, A. Azzolino
LOOK IN http://www.mathnstuff.com/math/precalc/pnotes.htm
LOOK IN the book https://openstax.org/details/books/algebra-and-trigonometry
from: OpenStax Algebra and Trigonometry
Jay Abramson, Arizona State University, Senior Contributing Author
Day,Month,Date Day Section Text Page Material Covered
=========== AND 5.1, 5.2 Quadratic Functions ======================
5.1 pg 544 Quadratic Functions exercises p356
Recognize characteristics of parabolas. p344 vocabulary
Understand how the graph of a parabola is related to its
quadratic function. p345 w/ text notes on p347
* general form f(x) = ax^2 + bx + c
* standard form f(x) = a(x - h)^2 + k
* axis of symmetry is x= -b/(2a) or x = h
* see lines pages in pnotes.htm
* see lines.gsp to practise writing equation or change forms
* Example 2 Writing the Equation of a Quadratic Function from the Graph pg 347
Determine a quadratic functions minimum or maximum value. p351
* Example 3 Finding the Vertex of a Quadratic Function pg 349
* Finding the Domain and Range of a Quadratic Function (in symbols) p349
* Example 4 Finding the Domain and Range of a Quadratic Function
(when stated as an equation) p 350
Solve problems involving a quadratic functions minimum or maximum value.
* Example 9 Applying the Vertex and x-Intercepts of a Parabola
throw a baseball p355
* Finding the x- and y-Intercepts of a Quadratic Function pg353
* Example 8 Finding the x-Intercepts of a Parabola
(find vertex, write in general form, let f(x) = 0 and solve for x) p354
* use quadratic formula p355
5.2 Power Functions and Polynomial Functions pg360 exercises pg 372
Identify power functions. definition p360
* f(x) = k(x^p)
f (x) = 1 Constant function f (x) = x Identify function
f (x) = x^2 Quadratic function f (x) = x^ 3 Cubic function
f (x) =1/x, x^(-1)Reciprocal function
f (x) = 1/x^2, x^(-2) Reciprocal squared function
f (x) = sqrt(x), x^(1/2) Square root function
f (x) = cuberoot(x), x^(1/3) Cube root function
Identify end behavior of power functions. pg361, 363, 366
* odd and even power functions p362
Identify polynomial functions. p364
* definition & symbols of polynomial function p 365
Identify the degree and leading coefficient of polynomial functions. p365
* Example 8 Determining the Intercepts of a Polynomial Function p368
* zeros & turning points p370
* Example 12 Drawing Conclusions about a Polynomial Function from the Factors
pg 371
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tf18 9 5.1-5.5 344, 360, 375, 393, 402
Quadratics, Polynomial Functions; Real zeros of polynomial functions
see above
5.3 Graphs of Polynomial Functions p375 exercises 390
Recognize characteristics of graphs of polynomial functions. p375
Use factoring to find zeros of polynomial by factoring w/instructions. p376
Identify zeros and their multiplicities. p379-380
Determine end behavior. LEADING COEFFICIENT & POWER p381
* polynomial in qeneral form p381
Understand the relationship between degree and turning points. p382
Graph polynomial functions -- instructions. p383
Use the Intermediate Value Theorem. p385
* Writing Formulas for Polynomial Functions p386
* extrema p388
* Example 11 Using Local Extrema to Solve Applications -open-top box p388
5.4 Dividing Polynomials p393 exercises p 400
Use long division to divide polynomials.
* arithmetic Don't Mess Sunday Best p394
* algebraic Don't Mess Sunday Best p394
* dividend = (divisor · quotient) + remainder p394
Use synthetic division to divide polynomials. p396
instructions p397
* remainder of f(x)/(x-a) = f(a)
5.5 Zeros of Polynomial Functions p402 exercises p412
* Evaluate a polynomial using the Remainder Theorem. pg 402
see * Use synthetic above
* Ex 1 Use the Remainder Theorem to Evaluate a Polynomial p403
Use the Factor Theorem to solve a polynomial equation. p 403
* Example 3 Listing All Possible Rational Zeros p405
Use the Rational Zero Theorem to find rational zeros. p404
Find zeros of a polynomial function. p406
Use the Linear Factorization find polynomials with given zeros. p408
* The Fundamental Theorem of Algebra p407
* Complex Conjugate Theorem p408
Use Decartes' Rule of Signs. p410
Solve real-world applications of polynomial equations. p410
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hf20 10 5.6 p 414 Rational Functions: Asymptotes and Graphing exer p431 exercises p444
Use arrow notation. p414
Solve applied problems involving rational functions. p418
Find the domains of rational functions. p419
Identify vertical asymptotes. p416
Identify horizontal asymptotes. p417, 422
Identify removable discontinuities p421
Identify slant asymptotes. p424
Graph rational functions. & function notation p418, 426
* Ex 10 Finding the Intercepts of a Rational Function p425
notes list p427
* Writing Rational Functions p428
OMIT 5.7 p435 ...
* Ex 1 Verifying Inverse Functions p437
* Restricting the Domain to Find the Inverse p438
* Ex 5 Finding the Inverse of a Radical Function p441
USE NOTES PROVIDED BY THE PROF
OMIT 5.8 p 446 ..., 458,
* Chapter 5 review, PTest p453, 461
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tf25 11 6.1-6.4 464, 479, 491, 499 Exponential and Logarithmic Functions
6.1 Exponential Functions p464 exercises p476
* graph 2^x, 3^x, 2^(-x)
Percent change, Exponential growth vs Linear growth, Exponential decay, features p466
Evaluate exponential functions. p466
Find the equation of an exponential function. p468
* Ex 4 Writing Expo Model When Initial Value Is Known p469
* Ex 5 Writing Expo Model When Initial Value is Not Known p469
* instructions p470
Use compound interest formulas.& calculation & vocab p472
SEE SPREAD SHEET, algebraic derivation page
Evaluate exponential functions with base e. p474
SEE COMPUTING WEB PAGES -- LINEAR VS EXPO, MANY PARENTS,
BASE e, e page
* Example 11 Calculating Continuous Growth/Decay p475
6.2 Graphs of Exponential Functions p479 exerc p488
Graph exponential functions. p479
* features p480
Graph exponential functions using transformations. p481
* translations of exponential functions p487
6.3 Logarithmic Functions p491 exerc p497
Convert from logarithmic to exponential form. p491
Convert from exponential to logarithmic form. p493
Evaluate logarithms. p493
2 connect the dots
Use common logarithms. p494
Use natural logarithms. p496
6.4 Graphs of Logarithmic Functions p499 exerc p513
Identify the domain of a logarithmic function. p499
Graph logarithmic functions. p501
* log features p502
* curve shifting 3 key points, asymptote, dilations p506 p503
* Ex 9 Approximating the Solution of a Logarithmic Equation p510
* Ex 11 Finding the Equation from a Graph p511
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hf27 12 6.5,6.6 516, 526 Logarithmic Properties;
Solving Logarithmic and Exponential equations
6.5 Logarithmic Properties p516 exerc p524
* exponent & log laws sheet A LOG IS AN EXPONENT
Use the product rule for logarithms. p517
Use the quotient rule for logarithms. p518
* Ex 2 Using the Quotient Rule for Logarithms p519
Use the power rule for logarithms. p519
Expand logarithmic expressions. p520
connect the dots
Condense logarithmic expressions. p522
* Ex 12 Applying of the Laws of Logs p523
Use the change-of-base formula for logarithms. p523
6.6 Exponential and Logarithmic Equations p526
Use like bases to solve exponential equations. p527
Use logarithms to solve exponential equations. p528
Use the definition of a logarithm to solve log equations. p530
* Ex 8 Solving Exponential Functions in Quadratic Form p530
Use the one-to-one property of logs to solve log equations. p532
Solve applied problems involving exp and log equations. p533
* Ex Radioactive Decay to Find the Quantity of a Substance p534
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tm3 13 6.7, Review 537 Growth and Decay Applications
6.7 Exponential and Logarithmic Models p547 exer p549
* expo model spread sheet
Model exponential growth and decay. & features p537
* Half-Life p539
* Radiocarbon Dating p540
* Calculating Doubling Time p541
Use Newtons Law of Cooling. p542
Use logistic-growth models. p543
Choose an appropriate model for data. p545
Express an exponential model in base e. p547
6.8 Fitting Exponential Models to Data "OMIT"
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========= hm5 14 Test #2 AND Bacteria Quiz p469 ====
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Xtm10 NO SCHOOL
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Xhm12 NO SCHOOL
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