VnF
Graphing
Composite Functions
Inverse Functions
Miscellaneous
100

If ab=0, then a=0 or b=0

What is Null Factor Law?

100

Formula to find axis of symmetry IF equation is in quadratic form.

What -b/2a?

100

Same as f(g(x))

What is "(f o g) (x)"

100

Two steps to solve inverse function problems.

What is:

1. Switch x and y

2. Solve for y

100

Difference between equation and expression.

What is "equation has = sign, expression does not?"

200

+ and -, x and ÷, x² and √x

What are the inverse operations?


200

Name for graph with leading power of x5

What is a quintic graph?


200

(g o f) (x), if a f(x) = √(2x-5) and g(x) = 5x2 – 3

What is (g o f) (x) = 10x - 28?


200

Notation for "inverse of x"

What is f-1 (x)?

200

Characteristic of a graph given by (x-h)+ k?

What is a graph's vertex?

300

When a > 0 and discriminant < 0

What is a positive definite quadratic?

300

When ((x-2)2/(x-4)) + 5 is undefined

What is "when x is 4?"

300

If f(x) = x2-4x+6 and g(x) = 4x, this is the value of (f o g) (x)

What is "16x2-16x+6" or "2(8x2-8x+3)?"

300

Graph of a function and its inverse look like this

What is a graph reflected over the line x=y?

300

Three other names for the "zeros" of a graph

What are roots, x-intercepts, and solutions?

400

Another name for Vertical Line Test

What is Geometric Test?

400

The sign diagram for x2+2x-3

What is

<-------l---------l-------->  

    +   (-3)   -   (1)  +

400

The direct translation of "(f o g) (x)" EXACT ANSWER ONLY

What is "f following g?"
400

Inverse function of f(x) = (4x)/(5−x)

What is y = (5x)/(4+x)?

400

The name for the process of finding the maximum value of a function (one word)

What is optimization?

500

The four conic sections

What are parabolas, circles, hyperbolae, and ellipses?


500

The horizontal and vertical asymptotes of y = (x2+3x+1)/(4x2-9)


For what equation would the vertical asymptote = +/- 3/2 and the horizontal asymptote = 1/4?

500

Last way to write "(f o g) (x)" or "f(g(x))"

What is "f o g : x l--> f(g(x))?"

500

Special term for (y + 17)2 = (x + 17)2

What is a self-inverse function?

500

The name for the graph of f(x) = 1/x

What is a rectangular hyperbola?

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