Which graphs are not functions

If you don't remember anything else from this video what I hope you remember is the vertical line test. If a graph passes the vertical line test then it is a function. What I mean by that is if you move your pen and it hits only once then yes it's a function, if it hits more than once, no it's not a function. I personally kind of like theses problems I think they are not too hard and there is no numbers involved so that's kind of cool.

All Algebra videos Unit Graphs and Functions. Previous Unit Absolute Value. Alissa Fong. Thank you for watching the video.

Start Your Free Trial Learn more. Explanation Transcript Use the vertical line test to determine whether or not a graph represents a function. Algebra Graphs and Functions. Science Biology Chemistry Physics. Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function.

If the vertical line touches the graph at more than one point, then the graph is not a function. A relation has more than one output for at least one input. The Vertical Line Test is a test for functions. If you take your pencil and draw a straight line through any part of the graph, and the pencil hits the graph more than once, the graph is not a function.

The codomain is the set of all possible values which can come out as a result but the range is the set of values which actually comes out. How To: Given a graph, use the vertical line test to determine if the graph represents a function. Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.

Show Solution If any vertical line intersects a graph more than once, the relation represented by the graph is not a function.

Try It Does the graph below represent a function? Show Solution Yes. How To: Given a graph of a function, use the horizontal line test to determine if the graph represents a one-to-one function.

Inspect the graph to see if any horizontal line drawn would intersect the curve more than once. If there is any such line, the function is not one-to-one. If no horizontal line can intersect the curve more than once, the function is one-to-one. Example: Applying the Horizontal Line Test Consider the functions a , and b shown in the graphs below. Show Solution The function in a is not one-to-one.

Try It. Try It In this exercise, you will graph the toolkit functions using an online graphing tool. Graph each toolkit function using function notation.