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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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