My Math Forum finding a function based on some requirements.

 Pre-Calculus Pre-Calculus Math Forum

March 29th, 2017, 12:11 PM   #1
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From: leuven

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finding a function based on some requirements.

So this exercise requires me to make a graph based on the information on the right side of the image.
Notice that the y worth of x=4 is left out.

In order to find this, I think I'll need to find the function first.

So I know that

f(2)=0
f(5)=0
f(0)=1
and f(4) =positive.

I'm currently just trying out different things with the hopes of finding a function that meets these requirements. However I'm not sure whether that is the most effective way to deal with a problem like this.

This thing is wrecking my braincells lol.

I think I'm going to start off by making formulas for f(2) that make it equal 0 and making separate formulas for f(5) that make it equal 0.

Then I'm going to look how to combine these two and hopefully that'll give something.

If that doesn't give me a lead, I'll be taking a look at it for another couple of hours in the library tomorrow.

If any of you knows an easier way to solve this or a correct way to do so, please tell me. It's definitely good to see whether I got the correct solution and if I am still stuck after tomorrow I might need a hint.
(I'm trying to get to the solution by myself eventually, though I'm really not good in math.)
Attached Images
 math graph2.jpg (15.8 KB, 1 views)

Last edited by skipjack; March 29th, 2017 at 02:34 PM.

 March 29th, 2017, 01:55 PM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,225 Thanks: 2411 Math Focus: Mainly analysis and algebra There isn't a single closed expression for the function in the picture. You would have to read the value of $f(4)$ from the graph.
March 30th, 2017, 05:19 AM   #3
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From: leuven

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Quote:
 Originally Posted by v8archie There isn't a single closed expression for the function in the picture. You would have to read the value of $f(4)$ from the graph.
well, i think thats impossible since we have to make the graph ourselves based on the follwoing information:

3. Draw the graph of a function f that meets the following requirements:

f(0)=1

and then theres the two tables next to it where all the points except f(4) are marked.

the graph isn't in the exercise, that was just me trying to visualize how it would look like. Still going to have to try and find a way to find f(4)

Is it even possible to find the function with the given information?

Last edited by vlekje5; March 30th, 2017 at 05:25 AM.

 Tags based, finding, function, requirements

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