11-calc-08pdf

  • October 2019
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Interval Notation General Rule -- [ and ] includes the number ( and ) do not include the number EX.

-1 < x < 3 = (-1, 3)

4 ways to represent a function

1. 2. 3. 4.

vocab function domain range

Range -- y values Domain -- x values

Name the 3 types of problems in math, where you can't get an answer.

Domain is all real numbers except (these 2 cases) <meta name="qrichtext" content="1" platform="Mac" />< body style="font-size:8pt;font-family:MS Shell Dlg">



5 DIFFERENT CASES YOU WILL SEE: 1. EX.

; Solve for x

0

2. Ex.

; Solve for d

0

3. Ex.

; Solve for d > 0 (d 0, and d 0 )

4. Ex.

; Solve for n 0, and d 0

5. Ex.

; Solve d > 0, and n

0

Increasing and Decreasing Functions **Use the x- coordinates, not y

use the x numbers to tell me the interval, remember brackets or ( )

Odd and Even Functions ** Plug -x into the equation and simplify it: 1. If you get the same answer it is an even f(x) 2. If you get the same answer but a different sign, it is an odd f(x). 3. If you get something different, it is neither odd or even. Ex. f(x) = x5 + x Ex. f(x) = 1 - x4

Ex. 3 f(x) = 2x - x2

Everyday functions **Graph the temperature of water out of the hot water tap, as a function of time

**Graph the height of your lawn as a function of time.

Is it a function or not? *Use vertical line test if line crosses just once, then yes it is if line crosses 2 or more, No it is not

a. State the value of f(-1). b. Estimate the value of f(1.5) c. Estimate the values of x such that f(x) = 1 d. State the domain and range of f. e. For waht values of x is f(x) = .5 f. On what interval is f increasing?

Assignment 1.1 p 22 #1- 11, 13, 14, 17, 19, 23, 24, 27, 48, 49, 51, 55-60