FUNctions

Question 1

What’s wrong with PEMDAS?

Answer 1

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

Question 2

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

Answer 2

Addition Proptery

Question 3

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

Answer 3

Subtraction Property

Question 4

Solve: -5 < x + 1 < 4

Answer 4

-6 < x < 3

Question 5

When graphing an inequality, fill in the circle if…

Answer 5

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

Question 6

What is absolute value actually asking?

Answer 6

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

Question 7

Solve: | 3x + 2 | = -4

Answer 7

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

Question 8

What is a function?

Answer 8

A relation in which ever input creates only one output.

Question 9

Every function can be graphed using what strategy?

Answer 9

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

Question 10

What is the slope formula?

Answer 10

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

Question 11

How is the slope of a straight line classified?

Answer 11

Positive, Negative, or Zero

Question 12

A positive slope…

Answer 12

rises as you read the graph from left to right.

Question 13

A vertical line has what kind of slope?

Answer 13

Undefined.

Question 14

Slope intercept form is:

Answer 14

y=mx+b

Question 15

The m in y = mx + b represents:

Answer 15

slope

Question 16

The b in y = mx + b represents:

Answer 16

y-intercept

Question 17

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

Answer 17

Every point on the line.

Question 18

What is the point slope form for a line?

Answer 18

y - y1 = m(x-x1)

Question 19

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

Answer 19

A V.

Question 20

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

Answer 20

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

Question 21

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

Answer 21

When the inequality is not “or equal to.” 3x-2y > 2

Question 22

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

Answer 22

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

Question 23

What is the slope of perpendicular lines?

Answer 23

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

Question 24

What are the two ways to solve linear systems algebraically?

Answer 24

Substitution & Elimination

Question 25

How do you add or subtract matrices?

Answer 25

Just mash together corresponding values. Easy.

Question 26

What is the determinate of a matrix?

Answer 26

The difference of the products of the diagonals.

Question 27

What is end behavior?

Answer 27

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

Question 28

What is the quadratic formula?

Answer 28

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

Question 29

What are the solutions like if the discriminant is negative?

Answer 29

Imaginary roots

Question 30

What do we use synthetic division for?

Answer 30

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

Question 31

What is rational zeros theorem?

Answer 31

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

Question 32

What is a polynomial function.

Answer 32

Function with decreasing exponents.

Question 33

What is a local maximum and minimum?

Answer 33

The peak and valley in a certain interval.

Question 34

What are like terms

Answer 34

Terms that have the same variable part.

Question 35

What are the two strategies for dividing polynomials?

Answer 35

long & synthetic