1.5 Inverse Relations

Question 1

how to use algebraic strategy to determine the inverse relation

Answer 1

1. rewrite the function using x and y
2. interchange x and y in the relation
3. solve for y

Question 2

how to find inverse given a table of values

Answer 2

the independent and dependent variables can be interchanged/switched to get and table of values of the inverse relation

Question 3

how to find the domain and range of the inverse relation

Answer 3

the domain of the original function would be the inverse range

the range of the original function would be the inverse domain

Question 4

how to match inverse relation to their corresponding graph

Answer 4

1. find the domain and range of the graph
2. find the inverse domain and range
3. find the other graph that matches the inverse domain and range

Question 5

how to find the inverse of a formula

Answer 5

rearrange for the value wanted

Question 6

h-(3) what does the 3 represent

Answer 6

the 3 represents the y value (so you must plug it into the equation as the y value)

Question 7

how to graph the inverse

Answer 7

1. find the vertex and switch the x and y coordinates

2. plot that coordinate and draw the rest of the graph using the original graph as a reference