Relations and Inverse Functions

Question

So I am trying to study notes and do homework for my math class. We are studying Relations and Inverse functions. I know how to go from a Relation to a Inverse function and when i am given the domain and range I can graphg. I do not know how to find my own domain and range to graph my relation. My homework problems are telling me I need to take the relation and turn it into a Inverse function and graph both. How do I find the ordered pairs to graph? One of the first problems says y=3-7x. Please help me understand how to graph this. Also the Inverse function I got was x= (3-7)/7 

Answer 1

Hi Samantha!

 

To graph relations and inverse functions you may select ANY values for x (unless it results in a 0 in the denominator of a fraction) and plug them into your equation to find the corresponding y values. This will give you ordered pairs that can be graphed.

 

For example, if y=3-7x, then when x=0, y=3-7(0)=3-0=3. So (0,3) is a point on the graph. When x=2, y=3-7(2)=3-14=-11. So, (2,-11) is a point on the graph. And when x=-10, y=3-7(10)=3-70=-67. So, (-10,-67) is a point on the graph.

 

Graph the points and connect them to make a sketch of the graph.

 

I hope this helps!

 

Best regards!