CK-12-Pre-Calculus Concepts

1.2. Graphical Transformations http://www.ck12.org 7.g(x)→− 3 g(x− 2 )− 2 8.h(x)→ 5 h(x+ 1 ) Describe the transformation that w ...

http://www.ck12.org Chapter 1. Functions and Graphs 1.3 Point Notation and Function Notation Here you will learn about the notat ...

1.3. Point Notation and Function Notation http://www.ck12.org TABLE1.1:(continued) 2 5 8 -11 Solution: f(x)→f(x− 3 )+ 4 (x,y)→(x ...

http://www.ck12.org Chapter 1. Functions and Graphs Convert the following point notation to words and to function notation and t ...

1.3. Point Notation and Function Notation http://www.ck12.org f(x)→−^12 f(x− 1 )+ 3 Answers: 1.f(x)→− 2 f(x− 1 )+ 4 Vertical ref ...

http://www.ck12.org Chapter 1. Functions and Graphs 6.(x,y)→(^12 x+ 3 ,y− 4 ) 7.(x,y)→( 2 x+ 4 ,−y+ 1 ) 8.(x,y)→( 4 x, 3 y− 5 ) ...

1.4. Domain and Range http://www.ck12.org 1.4 Domain and Range Here you will refine your understanding of domain and range from ...

http://www.ck12.org Chapter 1. Functions and Graphs power will never produce a negative number or zero. The restriction can be o ...

1.4. Domain and Range http://www.ck12.org b.(−∞, 0 ) c.[ 0 ,∞) d. [1, 4] e. (5, 6) f. [ 1 , 2 )∪[ 10 , 25 ] Note: The∪symbol mea ...

http://www.ck12.org Chapter 1. Functions and Graphs Solution: Domain:x∈[− 3 ,− 1 )∪[ 0 , 3 ) Range:y∈[− 2 ,∞) Note that the func ...

1.4. Domain and Range http://www.ck12.org Guided Practice Identify the domain and range of the following function written in a ...

http://www.ck12.org Chapter 1. Functions and Graphs Domain:x∈(−∞,− 4 )∪(− 4 ,− 3 )∪(− 3 ,∞) c.y=−4 ln( 3 x− 9 )+ 11 The argument ...

1.4. Domain and Range http://www.ck12.org 10. Given the stated domain and range, draw a possible graph. Domain:x∈[ 0 ,∞)Range:y ...

http://www.ck12.org Chapter 1. Functions and Graphs 1.5 Maximums and Minimums Here you will learn to identify the maximums and m ...

1.5. Maximums and Minimums http://www.ck12.org Calculus uses advanced analytic tools to compute extreme values, but for the purp ...

http://www.ck12.org Chapter 1. Functions and Graphs Solution: Since the function seems to abruptly end at the end points and doe ...

1.5. Maximums and Minimums http://www.ck12.org Identify and categorize the extrema. Identify and categorize the extrema. Answe ...

http://www.ck12.org Chapter 1. Functions and Graphs There are no global extrema. There appears to be a local maximum at (-1.2, ...

1.5. Maximums and Minimums http://www.ck12.org Identify any global extrema. Identify any local extrema. Use the graph below for ...

http://www.ck12.org Chapter 1. Functions and Graphs Use your graphing calculator to identify and categorize the extrema of: f(x ...