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    Assessing Graphs and Functions

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    Set 3
    #34 Function expressed by ordered pairs: determine whether each relation is a function
    [(2, -5), (2,5) (3, 10)]

    #36 [(3,6), (6.3)]
    #90 Function notation: left f(x) = 3x -2, g(x) = -x^2 + 3x - 2, and h(x) = |x + 2| evaluate each expression
    f(100)
    #92 g(-3)
    #94 h(-19)
    #106 Perimeter of a square. Find a formula that expresses the perimeter of a square P as a function of the length of its side s.

    Set 4
    #10 Solving a system by graphing
    Y = 2x + 1
    X + y = -2

    #24 The graphs of the following are given in (a) through (d). Match each system with the correct graph.
    4x + 5y = -2
    4y - x = 11

    #50 Solve each system by substitution. Determine whether the equations are independent, dependent or inconsistent
    2y = x + 6
    -3x + 2y = -2

    #60 y = 3(x - 4)
    3x - y = 12
    #96 Different growth rates. The combined population of Marysville and Springfield was 25,000 in 2000. By 2005 the population of Marysville had increased by 10%, while Springfield had increased by 9%. If the total population increased by 2380 people then what was the population of each city in 2000?

    #98 Finding more numbers. The sum of two numbers is -16 and their difference is 8. Find the numbers.
    #100 Ticket sales. Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824 and twice as many adult tickets as student tickets were sold then how many of each were sold?

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    See the explanation in the Word document.

    Set 3
    #34 Function expressed by ordered pairs: determine whether each relation is a function
    [(2, -5), (2,5) (3, 10)]
    In this question, for a given value x of 2, we have two y values: -5 and 5. Based on the definition of a function, this relation is not a function.
    #36 [(3,6), (6,3)]
    In this question, for a given value of x, there is a specific value of y. Therefore, this relation is a function.
    #90 Function notation: left f(x) = 3x -2, g(x) = -x^2 + 3x - 2, and h(x) = |x + 2| evaluate each expression
    f(100)=3*100-2=298
    #92 g(-3)=-(-3)^2+3*(-3)-2=-9-9-2=-20
    #94 h(-19)=|-19+2|=17.
    #106 Perimeter of a square. Find a formula that expresses the perimeter of a square P as a function of the length of its side s.
    In a square, all four sides have the same length. Therefore, ...

    Solution Summary

    The following posting helps assess graphs and functions.

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