Question

hello I need to graph the function y-5/8=-x, determine if is a function using the vertical Line test, then graph the inverse and also determine if it's a function using the vertical lime test.

Answer 1

The graph of the equation is given below:

The curve intersects the x-axis only once. So, by the vertical line test, the curve is a function.

Now, find the inverse of the given function by interchanging x and y, then solving for y:

`\begin{gathered} x-(5)/(8)=-y \\ \Rightarrow-x+(5)/(8)=y \end{gathered}`

The graph of the inverse is given below:

Since the curve intersects the x-axis only once. Therefore, the inverse is also a function.