CK-12-Calculus

1.1. Equations and Graphs http://www.ck12.org 3.y=x^3 −x 4.y=x^3 +x^2 − 6 x Once a car is driven off of the dealership lot, it ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity a. You should buy a BMW because they are better cars. b. BMWs a ...

1.2. Relations and Functions http://www.ck12.org 1.2 Relations and Functions Learning Objectives A student will be able to: Ide ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity y= 2 x+ 3 x^2 +y^2 = 4 ...

1.2. Relations and Functions http://www.ck12.org y=x^3 − 9 x Of these, the circle has a quality that the other graphs do not sha ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity If we draw vertical lines through the graphs as indicated, we s ...

1.2. Relations and Functions http://www.ck12.org From the graph, we see that everyy 6 =0 value in(−∞,∞)(or "All real numbers") i ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity Cube (Polynomial) f(x) =x^3 Domain=All reals Range=All reals Sq ...

1.2. Relations and Functions http://www.ck12.org Absolute Value f(x) =|x| Domain=All reals Range={y≥ 0 } Reciprocal f(x) = 1 /x ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity Sine f(x) =sinx Domain=All reals Range={− 1 ≤y≤ 1 } Cosine f(x) ...

1.2. Relations and Functions http://www.ck12.org Graphing by Transformations Once we have the basic functions and each graph in ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity In addition, we can shift graphs up and down. In general, if we ...

1.2. Relations and Functions http://www.ck12.org We can also flip graphs in thex−axis by multiplying by a negative coefficient. ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity f(x) =−x^2 ...

1.2. Relations and Functions http://www.ck12.org Finally, we can combine these transformations into a single example as follows. ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity Function Composition The last topic for this lesson involves a ...

1.2. Relations and Functions http://www.ck12.org Review Questions In problems 1 - 2, determine if the relationship is a function ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity In problems 6 - 8, sketch the graph using transformations of th ...

1.3. Models and Data http://www.ck12.org 1.3 Models and Data Learning Objectives A student will be able to: Fit data to linear ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity For these kinds of situations, the data will be modeled by the ...