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  1. Nov 17, 2020 · Identify the input values. Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function. Example \ (\PageIndex {1}\): Determining If Menu Price Lists Are Functions.

    • Determining If Menu Price Lists Are Functions. The coffee shop menu, shown below, consists of items and their prices. ⓐ Is price a function of the item?
    • Determining If Class Grade Rules Are Functions. In a particular math class, the overall percent grade corresponds to a grade point average. Is grade point average a function of the percent grade?
    • Using Function Notation for Days in a Month. Use function notation to represent a function whose input is the name of a month and output is the number of days in that month.
    • Interpreting Function Notation. A function N=f( y )N=f( y ) gives the number of police officers, N, N, in a town in year y. y. What does f( 2005 )=300f( 2005 )=300 represent?
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  3. The graph of the function is the set of all points (x,y) ( x, y) in the plane that satisfies the equation y= f (x) y = f ( x). If the function is defined for only a few input values, then the graph of the function is only a few points, where the x -coordinate of each point is an input value and the y -coordinate of each point is the ...

    • f(x)=|x| f ( x) = | x
    • f(x)=x f ( x) = x
    • f(x)=c f ( x) = c, where c c is a constant
    • f(x)=x2 f ( x) = x 2
  4. Graph the functions in the library of functions. A jetliner changes altitude as its distance from the starting point of a flight increases. The weight of a growing child increases with time. In each case, one quantity depends on another. There is a relationship between the two quantities that we can describe, analyze, and use to make predictions.

    • f(x)=|x| f ( x) = | x
    • f(x)=x f ( x) = x
    • f(x)=c f ( x) = c, where c c is a constant
    • f(x)=x2 f ( x) = x 2
  5. Apr 16, 2021 · Study with Quizlet and memorize flashcards containing terms like Which graph represents the fastest runner? A. graph A B. graph B C. graph C D. graph D, Which equation describes the fastest runner? A. distance=0.5⋅time B. distance=0.33⋅time C. distance=time D. distance=2⋅time, Which graph indicates that one of the runners started 10 meters ahead of the other? A. graph A B. graph B C ...

  6. Here is an activity you can do with a few of your classmates that will build your graph comparison skills. Step 1: Draw a planar graph with the following characteristics: exactly five vertices, one vertex of degree four, at least two vertices of degree three, and exactly eight edges. Give names to the vertices.

  7. Jul 12, 2021 · According to this definition, Euler’s model of the bridges of Königsberg is not actually a graph, because some of the vertices have more than one edge between them (for example, there are two edges between \(A\) and \(B\)), which makes \(E\) a multiset rather than a set. This leads naturally to another definition.