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How can you tell whether a graph is a function or not?
A vertical line test can be used to determine whether a graph is a function or not. If a vertical line intersects the graph more than once, then the graph is not a function.
How can you tell if one function is the inverse of another?
draw them both out on a graph and then draw the line y=x through the origin. If one function is a reflection of the other, it is the inverse
What is the effect on a graph when you multiply a function by -1?
When a function is multiplied by -1 its graph is reflected in the x-axis.
How do you tell a graph is a function if it touches the y-axis exactly one time?
The main way that a graph can be defined as a function is if it passes the vertical line test; this means that each individual x must correspond to one specific value of y. In the situation you mentioned, we don't know if the graph in question really is a function, because we only see the point at y; we don't know if the graph loops around on itself and fails the vertical line test at any other point.
What is a function whose graph is a straight line?
A linear function.
