review1-#16

I missed this one because I forgot how to do volume, but now  remember.

review1-# 15

I missed this one because I confused square inches with cubic feet.

review 1-#8

I missed number 8, because i wasn't paying attention.

review 1- #5

I missed this one because I did not identify the most precise measurement.

transformations

Compound Interest Formula

P= principal amount (the initial amount you borrow or deposit)

r = annual rate of interest (as a decimal)

t = number of years the amount is deposited or borrowed for.

A = amount of money accumulated after n years, including interest.

n = number of times the interest is compounded per year 

t in month= 12

t in day= 365

t in weeks=52

t in quarterly= 4

An amount of $1,500.00 is deposited in a bank paying an annual interest rate of 4.3%, compounded quarterly. What is the balance after 6 years?

P = 1500, r = 4.3/100 = 0.043, n = 4, t = 6

The balance after 6 years is approximately $1,938.84

General forms of a sequence

 Arithmetic---the same number is added or subtracted from each element to get the next element in the sequence.

Examples--- 3,7,11,15,19

Formula--- a_n = a₁ + (n – 1)d

Geometric---- the same number is multiplied or divided by each element to get the next element in the sequence.

Examples----2, 6, 18, 54

Formula---    a_n = a₁ ^. r^{(n - 1)}

domain-left/right

range-up/down

end behavior 

left- x->-x < up= y->+∞ down= y->-∞

right- x -> +x< up=y-> -∞ down y->-∞

absolute max/min--- max=highest min= lowest

local max/ min--- local max=largest value within a given point local min= smallest value within a given point

interval of increase--- interval where the function's slope is positive.

Interval of decrease--- interval where a function's slope is negative.

X intercept--- the point where the line crosses the x axis

Y intercept--- the point where the line crosses the y axis

Symmetry--- determining whether or not the function is even or odd

Even--- symmetric across y axis

Odd--- symmetric if you flip the negative part of the graph across the x-axis.

Neither--- not even or odd

Asymptotes--- a line that continually approaches a given curve but does not meet it at any finite distance.

Function--- relationship between values

One to one--- passes both the vertical line test and the horizontal line test.