Everything

Question 1

How can you tell if a graph of a relation and it’s inverse are a function?

Answer 1

Do a vertical line test to the relation to make sure no two points are the same
Do a horizontal line test to the relation to make sure no two points are the same for the inverse

Question 2

How do yoy algebraically and graphically find the inverse of a function?

Answer 2

Algebraically- switch X and Y in the function then isolate y

Graphically- switch the X and y points on the table of values

Question 3

What is the domain and range for a standard radical equation?
Y= root X

Answer 3

X greater than or equal to 0

Y “

Question 4

What happens to the X and Y values of a function when you square root the right side?

Answer 4

X stays the same

Y gets square rooted

Question 5

What is the difference in domain and ranges between x^2-9 and root x^2-9?

Answer 5

First one- X E R
Y>or equal to -9

Second one- X>orequal to 3 Xor equal to 0

Question 6

How do you solve a radical function graphically?

Answer 6

Isolate the radical and graph the two functions on either side of the equal sign
(Use algebraically to check)

Question 7

What must be included when creating a normal function graph?

Answer 7

Table of values

Domain and range

Question 8

What must be included when creating a radical function graph?

Answer 8

Table of values

Domain and range

Question 9

When long dividing and the remainder ends up being zero, what does that mean?

Answer 9

It means what you divided the function by is a factor

Question 10

What can you only divide by in order to use synthetic division?

Answer 10

A binomial (X-2)

Question 11

What is the factor theorem?

Answer 11

It is when you insert a binomials number as X into what you’re dividing it by to see if it’s a factor.
If it results in 0 it is a factor

Question 12

What do you include when creating a graph of a polynomial functions?

Answer 12

Degree
Leading coefficient sign
Quadrants it goes to
Y intercept
Zeros/multiplicity/behaviour chart

Question 13

What should you do when asked to graph a polynomial equation?

Answer 13

Use synthetic division to simplify it to binomials then create a zeros chart and just graph it

Question 14

What are the three things rational functions cannot have?

Answer 14

1. Denominators cannot equal zero
2. No common factors can exist
3. No negative exponents in denominator

Question 15

What must you include when creating a graph of a rational function?

Answer 15

Vertical asymptote 
Horizontal asymptote
X intercepts
Y intercepts
Sign analysis

Question 16

How do u find vertical asymptote of rational functions?

Answer 16

Make Y equal to 0/1 and cross multiply

Question 17

How do you find the horizontal asymptote of the numerator is:

• equal to the denominator
• less than the denominator
• greater than the denominator

Answer 17

Equal: the ratios of the two leading coefficients will be the asymptote
Less than: the asymptote is 0
Greater than: use long division and put the denominator on the outside and divide to find asymptote

Question 18

What is the difference between a point of discontinuity and a vertical asymptote in the denominator?

Answer 18

POD occurs when two binomials cancel eachother out and give you the X value of the POD
Vertical asymptote is just a binomial left alone in the denominator

Always check for POD first!!

Question 19

What is the formula for converting radians to degrees?

Answer 19

180/pie = degrees / radians

Question 20

What is the radius for the unit circle?

Answer 20

1

Question 21

How do you find cot 160?

Answer 21

Tan 160

Then go X to the power of -1 on calculator

Question 22

How to find cot ø= 160?

Answer 22

Tan-1(1/160)

Question 23

What do you need to include when creating a graph of cosine, sine, and tan?

Answer 23

Table of values
Domain and range
Amplitude
Period length

Question 24

When cancelling opposites where do you put the -1?

Answer 24

On the top only

Question 25

What do you include when creating a graph of an exponential function?

Answer 25

Table of values
Domain and range
X-intercepts 
Y-intercepts
Increasing or decreasing
Horizontal asymptote

Question 26

What do you include when creating the graph of a logarithm?

Answer 26

Table of values 
Increasing or decreasing
X and y int
Vertical asymptote 
Domain and range

Question 27

How do you find the inverse of a quadratic equation?

Answer 27

Complete the square then switch X and y

Question 28

What are integral zeros?

Answer 28

The factors of the constant of a polynomial

Possible factors of it

Question 29

When would you use combinations instead of permutations?

Answer 29

When they use the words: groups, committees, sets, cards