{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

ch.2 Functions

# ch.2 Functions - Chapter 2 Functions 2.1 Input and Output...

This preview shows pages 1–13. Sign up to view the full content.

Chapter 2 Functions 2.1 Input and Output

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Key Points • Basic function interpretation and manipulation using standard function notation
Finding Output Values: Evaluating a Function Example Let h ( x ) = x 2 + 2 x - 4. Evaluate and simplify the following expressions. (a) h (2) (b) h (a − 2) (c) h (a) − 2 (d) h (a) − h (2) Functions Modeling Change: A Preparation for Calculus, 4th

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Evaluating functionsFinding Input Values: Solving Equations Example 2 Suppose (a)Find f(3) (b)Find an x -value that results in f ( x ) = 3. (c)coordinates Functions Modeling Change: A Preparation for Calculus, 4th 1 ( ) 4 f x x = +
Like 18

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Finding Output Values from Tables Example 8 The table shows the revenue, R = f ( t ), received, by the National Football League, NFL, from network TV as a function of the year, t , since 1975. (a) Evaluate and interpret f(25). (b) Solve and interpret f(t) = 364 Solution The table shows f (25) = 2200. Since t = 25 in the year 2000, we know that NFL’s revenue from TV was \$2200 million in the year 2000. Functions Modeling Change: A Preparation for Calculus, 4th Year, t (since 1975) 0 5 10 15 20 25 30 Revenue, R (million \$) 201 364 651 1075 1159 2200 2200
Finding Input/Output Values from Graphs Exercise 35 (a) and (c) (a) Evaluate f(2) and explain its meaning . ( c) Solve f ( w ) = 4.5 and explain what the solutions means. Solution (a) f (2) ≈ 7, so 7 thousand individuals were infected 2 weeks after onset. (c) If you imagine a horizontal line drawn at f = 4.5, it would intersect the graph at two points, at approximately w = 1 and w = 10. This would mean that 4.5 thousand individuals were infected with influenza both one week and ten weeks after the Functions Modeling Change: A Preparation for Calculus, 4th An epidemic of influenza spreads through a city. The figure to the right shows the graph of I = f ( w ), where I is the number of individuals (in thousands) infected w weeks after the epidemic begins. w f ( w ) f

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Chapter 2 Functions 2.2 Domain and Range
Key Points Domain and range of a function Using a graph to find the domain and range Finding domain and range algebraically

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Warm up S2 and S4 page 77
Find the domain and range 11 ) ( - = t t h

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Using a Formula to Find the Domain and Range of a Function Example 4 State the domain and range of g , where g ( x ) = 1/ x . Solution The domain is all real numbers except those which do not yield an output value. The expression 1/x is defined for any real number x except 0 (division by 0 is undefined). Therefore, Domain: all real
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 40

ch.2 Functions - Chapter 2 Functions 2.1 Input and Output...

This preview shows document pages 1 - 13. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online