SAT-Math Chapter 15: Functions

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Lesson Review:

1. Function (vertical line test)

domain (x), range (y)

vertical asymptotes, horizontal asymptotes

input (x), output (y)

2. A function is undefined when:

a. the denominator is 0

b. the radicand of an even power radical (e.g: square root) is negative

3.  Composite function (a function of other functions): such as f(g(x)) : start from the inside and work your way out.

4. maximum and minimum value of y (the highest and lowest point in the graph)

5. zeros, roots, or solutions of f(x): the x value(s) when f(x)=0.

6. use special points in the graph (vertex, y-intercept, x-intercepts)

Homework:

  1. Corrections of Chapter 14 Exercise (Page 113-116)
  2. Chapter 15 Exercise (Page 123-127)

Other Resources:

  1. https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:evaluating-functions/v/what-is-a-function
  2. https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:composite/x9e81a4f98389efdf:composing/v/evaluating-composite-functions

Take care in this special season and stay safe!

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