Question

Write a paragraph reflecting on the different methods (graphing technology, tables of values, and successive approximation) of solving f(x) = g(x). State which of the three methods you prefer, and explain why.

Answer 1

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Explanation:

The three methods we use to solve f(x)=g(x) are graphing technology, tables of values, and successive approximation. Graphing technology is when you draw graph of both f(x) and g(x). The point where these two functions intersect gives the value of x. It can be tough to draw the graph of some function but it gives exact answer once you have accomplished the drawing of the graph. Tables of values is when you will substitute the value of x in both f(x) and g(x), so after trial and error you can find exact value of x, where , f(x)=g(x). Lastly, successive approximation is used by selecting an interval and then values of x are substituted from the interval to calculate the exact value of x for which, f(x)=g(x) by trial and error method. Little bit lengthier and time consuming. The method that I prefer is graphing technology because once you draw the graph correctly, it gives you the correct location of x where f(x)=g(x).

Answer 2

Answer with explanation:

To solve , f(x)=g(x)

The three methods that we generally use to solve above equation is

1.→ Graphing technology

2.→Tables of values

3.→Successive approximation

→If you will use "Table of values" ,you will substitute the value of x in both f(x) and g(x) ,so after hit and trial you can find exact value of x, where , f(x)=g(x).

→The method of "Successive approximation" is used by selecting an Interval and then values of x are substituted from the interval to calculate the exact value of x for which, f(x)=g(x) by hit and trial method.Little bit lengthier and time consuming.

→ "Graphing technology"=Draw graph of both f(x) and g(x) .The point where these two function intersect gives the value of x.Tough to draw the graph of some function but gives exact answer once you have accomplished the drawing of Graph.

⇒"Graphing technology" is the method that would be preferred to calculate ,f(x)=g(x), to calculate x.