What Is the Vertical Line Test?
Read this topicExplanations 3
- (Video) Introduction to Functions by mathman1024 This video by mathman1024 explains the basics of functions and goes over the vertical line test. Summary\large{\text{Summary}}Su…
By Alex Federspiel, Amy Feraco, Jonathan Heller, Anusha Rahman
- Vertical Line Test Before, we had to use tables and mappings to figure out if a relation was a function. Now, we can easily figure this out graphically. This is a test used to t…
By Alex Federspiel, Anusha Rahman
- Vertical Line Test The vertical line test is the best way to graphically determine whether a relation is a function. While there are other ways to determine whether a relation i…
By Anusha Rahman
Problems 28
- Does the graph of the equation x=y2x = y^2x=y2 define a function y=f(x)y = f(x)y=f(x) of xxx?
- Does the above graph pass the vertical line test?
- Does the above graph pass the vertical line test?
- Does the above graph pass the vertical line text?
- Does the above graph pass the vertical line test?
- True or False\text{True or False}True or False === A graph can still represent a function even if it fails the vertical line test.
- Does the above graph pass the vertical line test?
- Does the above graph pass the vertical line test?
- True or False\text{True or False}True or False === A discrete graph always represents a function.
- True or False\text{True or False}True or False === If a graph (of an equation) is continuous, it has to represent a function.
- Does the graph of the equation y3=xy^3 = xy3=x define a function y=f(x)y = f(x)y=f(x) of xxx?
- Can a (non-degenerate) circle be the graph of a function?
- Would the graph of the equation 1=x2+y21=x^2+y^21=x2+y2 pass the vertical line test?
- Is the graph above the graph of a function?
- Would the graph of the function y=3x−14y=3x-14y=3x−14 pass the vertical line test?
- What value(s) of BBB in Ax+By=CAx+By=CAx+By=C always makes the equation fail the vertical line test?
- xy142628310412\begin{array}{c|c} x&y\\ \hline 1&4\\ 2&6\\ 2&8\\ 3&10\\ 4&12 \end{array}x12234y4681012 Would this graph pass the vertical line test?
- A graph does not pass the 00000‾\underline{\phantom{00000}}00000 line test if a(n) 00‾\underline{\phantom{00}}00-value corresponds to more than one 00‾\underline{\phantom{00}}…
- True or False\text{True or False}True or False === By definition, a function will always pass the vertical line test.
- True or False\text{True or False}True or False === A linear function will always pass the vertical line test.
- If a relation passes the vertical line test, what can we conclude?
- Which of the following does not pass the vertical line test?
- How does the vertical line test support the definition of a function?
- Which of the following will never pass the vertical line test?
- Which of the following does not pass the vertical line test?
- True or False\text{True or False}True or False === If you draw a vertical line that can intersect (cross) a graph more than once, the graph is not a function.
- True or False\text{True or False}True or False === Functions are defined as having at most one yyy value for any one xxx value.
- True or False\text{True or False}True or False === A function is a relationship or expression involving one or more variables. It'll produce one (and only one) value for each po…