Flashcards in FUNctions Deck (35)

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1

## What's wrong with PEMDAS?

### Multiplication doesn't come before division. Work left to right! And Addition does not come before Subtraction. Work left to right!

2

## What is it called when you add something to both sides of an equation?

### Addition Proptery

3

## What property? 3x + 4 - 4 = 12 - 4

### Subtraction Property

4

## Solve: -5 < x + 1 < 4

### -6 < x < 3

5

## When graphing an inequality, fill in the circle if...

### The inequality is greater then or equal to / less then or equal to.

6

## What is absolute value actually asking?

### Distance to zero (which is always positive because distance must be positive).

7

## Solve: | 3x + 2 | = -4

### No solutions. (Because distance to zero cannot be negative).

8

## What is a function?

### A relation in which ever input creates only one output.

9

## Every function can be graphed using what strategy?

### A table of values. For every x (left/right) input there is a matching y (up/down) output value.

10

## What is the slope formula?

### y - y over x - x (rise/run is a good mnemonic but is not a formula)

11

## How is the slope of a straight line classified?

### Positive, Negative, or Zero

12

## A positive slope...

### rises as you read the graph from left to right.

13

## A vertical line has what kind of slope?

### Undefined.

14

## Slope intercept form is:

### y=mx+b

15

## The m in y = mx + b represents:

### slope

16

## The b in y = mx + b represents:

### y-intercept

17

## The x and y in y = mx + b represent:

### Every point on the line.

18

## What is the point slope form for a line?

### y - y1 = m(x-x1)

19

## What does the graph of an absolute value function look like?

### A V.

20

## What does the 4 and 2 do in the graph: y = |x +4| -2

### 4 is a left shift. -2 is a down shift.

21

## When do you use a dotted line in a linear inequality graph?

### When the inequality is not "or equal to." 3x-2y > 2

22

## How many solutions can a linear system of equations in 2 variables have?

### One (intersecting), zero (parallel), or all solutions (stacked identical lines).

23

## What is the slope of perpendicular lines?

### Opposite receptacles. Such as 2/1 and -1/2

24

## What are the two ways to solve linear systems algebraically?

### Substitution & Elimination

25

## How do you add or subtract matrices?

### Just mash together corresponding values. Easy.

26

## What is the determinate of a matrix?

### The difference of the products of the diagonals.

27

## What is end behavior?

### What's happening toward the far left and right of a graph.

28

## What is the quadratic formula?

### -b +- sqrt (b^2 - 4 ac) all over 2a

29

## What are the solutions like if the discriminant is negative?

### Imaginary roots

30

## What do we use synthetic division for?

### Pulling factors (x-k) out of a polynomial with division. (Using rational zeros theorem).

31

## What is rational zeros theorem?

### All possible real roots are in the set of factors of the constant term over factors of leading coefficient.

32

## What is a polynomial function.

### Function with decreasing exponents.

33

## What is a local maximum and minimum?

### The peak and valley in a certain interval.

34

## What are like terms

### Terms that have the same variable part.

35