Question

Which is the graph of the sequence defined by the function f(x) = 100(0.5)*-1?100(0,100)100 1x(1,100)1000, 100)90908028898827060504030201010090(1,50)1◆ (2,25)2(1,100)3(3,125)4(3,90)+590882880706050 0 30 20 1040(5,80)1(2,50)2(3,25)34(4,125)588288788980-706050403020101+(2,90)23(4,80)54

Answer 1

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SOLUTION

Given:

`f(x)=100(0.5)^(x-1)`

Let test one point from each of the graphs in the given equation;

For the first graph:

`\begin{gathered} Testing\text{ point \lparen1,50\rparen} \\ f(1)=100(0.5)^(1-1)=100(0.5)^0 \\ f(1)=100(1)=100 \\ The\text{ first graph is wrong} \end{gathered}`

For the second graph:

`\begin{gathered} Testing\text{ point \lparen2,50\rparen} \\ f(2)=100(0.5)^(2-1)=100(0.5)=50 \\ The\text{ second graph is CORRECT.} \end{gathered}`

THE SECOND GRAPH IS CORRECT.