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Definitions
Functions
Solving Equations
Composition
of Functions
Inverses
100

Function

Where x doesn't repeat

100

Is a circle a function


No, because the vertical line goes through the circle more than once.

100

Solve for m using , Y=Mx+B

m=(y-b)/x

100

What are the four types of composition of functions?

Add, Subtract, Multiply, and divide


100

What are the steps for finding an inverse?

1. Change f(x) for y

2. Switch x and y 

3. Solve for y

4. Rewrite using correct notation f-1(X)

200

Vertical Line Test

Line used to prove if a relation is a function. If the line passes through more than one point, then its not a function.

200

Is an absolute value a function?

Yes, because the vertical line only goes through the graph once

200

Solve if x=3

(x4-4)(x3+6)

759

200

What's another way of saying (fog)(x)

f(g(x))

200

Whats the inverse of f(x)=x-7

f-1(x)=x-7

300

Horizontal Line

Line used to find if an inverse of a relation is a function. 

300

Is x=5 a function?

No, it's a vertical line graph. Vertical line graphs are never a function. 
300

Solve for x,


x2-5=r

x=sqrt(y+5)

300

F(x)=2x+1 , g(x)=x2-4. Find f(g(-3))

11

300
Find the inverse of f(x)= 4x-16

f-1(x)=x/4+4

400

Domain =_____ Values

Range=_____ Values

Domain: X-values

Range : Y-values

400

Is y=6 a function?

Yes, its a horizontal line. Therefore, the vertical line only goes through the relation once. 

400

Arrange in the correct order of powers

x-x5+7-x3+9x2=73

-x5-x3+9x2+x+7=73

400

F(x)=2x+3, g(x)=x2-1, and h(x)=3x. Find (f x h - g)

5x2+9x+1

400

Find the inverse for f(x)=sqrt(2x+1)

f-1(X)=(x2-1)/2

500

One-To-One

When both the relation and its inverse are functions, then they're a one-to-one
500

Is the following a function:

(x,y)

(2,5)

(3,5) 

(5,6)

 (6,7)

Yes, the x-values do not repeat. 

500

The sum of three consecutive even integers is 54. What is the largest of these integers?

n+(n+2)+(n+4)=54. n=20

500

F(x)=2x2+1 , g(x)=x+5 , (f-g)(x)

2x2-x-4

500

Verify if the functions are inverses of each other.

f(x)= 2x+3 and g(x)= x-3/2

f and g are inverses because f(g(x)) =x and g(f(x)) =x