Chapter 1 Flashcards Preview

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Flashcards in Chapter 1 Deck (30)
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1

Undefined slope is for what line

Vertical

2

Zero slope is for what line

Horizontal

3

What is general linear equation

Ax+by=c

4

What does the vertical line test test?

If it is a function or not

5

Even function is...

Symmetrical over an axis

6

Odd function is...

Symmetrical over origin

7

How do you know algebraically if it is an even function

F(-x)=f(x)

8

How do you know if something is algebraically odd?

F(-x)=-f(x)

9

What are domain restrictions

-vertical asymptotes
-holes
-even powers of radicals

10

What do you do to find domain when function has square root sign over it

Can have zero but not negative so put the equation next to > or = to 0. Might need to do line to figure out which numbers work.

11

How do you find domain of cubic root function?

The equation "is not equal to" 0

12

What does x^3 look like in graph

Symmetrical over origin

13

What does y=1/x look like

Symmetrical over origin. Never touching 0 on both x and y axis because of asymptotes. Asymptotes can change.

14

Does natural log look like ln

Yes.

15

Natural log looks like...

It is on the 1st and 4th quadrant and makes a curve bowed out from the bottom right corner

16

Sine equation starts at top or middle

Middle

17

Does cosine graph start at top or middle

Top (or bottom)

18

What is the equation for exponential growth?

Y= k* a^x

19

What does exponential growth looks like and decay

This is the line rising slowly up and up...decay is the graph going down. Growth graph is bowed out from top left corner and decay graph is bowed out from top right corner.

20

What is popular equation

P=p1 (1+r)^t

21

What is population decline

P=p1(1-r)^t

22

What is compound continuously

P=p1* e^rt

23

What is equation for compound interest

P=p1 (1+(r/n)^nt
N=how many times per year
T= time

24

What is half life

Y=y1((1/2)^t/h)
H=half life

25

What does the horizontal line test test

If it is a one to one equation

26

How do you find inverse

Just switch x and y

27

How do you know if it is an exponential decay or growth

A> 1 is growth
0

28

What is slope intercept form

Y=mx+b

29

How do you find amplitude when given a graph?

Subtract min from Max and divide all by 2 to find amplitude

30

To find y or node what do you do when given a graph

Add Max and min and divide by 2