mathematicsSimilar presentations:
Chapter 1. Functions
1. Chapter 1
Functions2. 1.1
Functions and Their Graphs3.
Slide 1 - 34.
Slide 1 - 45.
Slide 1 - 56.
Slide 1 - 67.
Slide 1 - 78.
Slide 1 - 89.
Slide 1 - 910.
Slide 1 - 1011.
Slide 1 - 1112.
Piecewise-Defined FunctionsSometimes a function is described in pieces by using different formulas on different parts
of its domain.
Slide 1 - 12
13.
Slide 1 - 1314.
Slide 1 - 1415.
Slide 1 - 1516.
Slide 1 - 1617.
Slide 1 - 1718.
Slide 1 - 1819.
Linear Functions A function of the form ƒ(x) = mx + b, where m and b are fixed constants,is called a linear function. Figure 1.14a shows an array of lines ƒ(x) = mx. Each of these
has b = 0, so these lines pass through the origin. The function ƒ(x) = x where m = 1 and b
= 0 is called the identity function. Constant functions result when the slope is m = 0
Slide 1 - 19
20.
Slide 1 - 2021.
Algebraic Functions Any function constructed from polynomials using algebraicoperations (addition, subtraction, multiplication, division, and taking roots) lies within the
class of algebraic functions.
Trigonometric Functions
Logarithmic Functions
Transcendental Functions
Slide 1 - 21
22.
Slide 1 - 2223.
Slide 1 - 2324.
Slide 1 - 2425.
Slide 1 - 2526.
Slide 1 - 2627.
Slide 1 - 2728.
Slide 1 - 2829.
Slide 1 - 2930.
Slide 1 - 3031.
Slide 1 - 3132. 1.2
Combining Functions;Shifting and Scaling Graphs
33.
Slide 1 - 3334.
Slide 1 - 3435.
Slide 1 - 3536.
Slide 1 - 3637.
Slide 1 - 3738.
Slide 1 - 3839.
Slide 1 - 3940.
Slide 1 - 4041.
Slide 1 - 4142.
Slide 1 - 4243.
Slide 1 - 4344.
Slide 1 - 4445.
Slide 1 - 4546.
Slide 1 - 4647.
Slide 1 - 4748.
Slide 1 - 4849.
Slide 1 - 4950. 1.3
Trigonometric Functions51.
Slide 1 - 5152.
Slide 1 - 5253.
Slide 1 - 5354.
Slide 1 - 5455.
Slide 1 - 5556.
Slide 1 - 5657.
Slide 1 - 5758.
Slide 1 - 5859.
Slide 1 - 5960.
Slide 1 - 6061.
Slide 1 - 6162.
Slide 1 - 6263.
Slide 1 - 6364. 1.4
Graphing withCalculators and Computers