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1 FunctionsIn what four ways can a mathematical function be represented? B. Give/create/find an example of a function and represent it in all four ways_ C Which one...

Question

1 FunctionsIn what four ways can a mathematical function be represented? B. Give/create/find an example of a function and represent it in all four ways_ C Which one of the four ways do you prefer and why?

1 Functions In what four ways can a mathematical function be represented? B. Give/create/find an example of a function and represent it in all four ways_ C Which one of the four ways do you prefer and why?



Answers

Give four ways that functions may be defined and represented.

The answer to this question is formulas, graphs, tables and words. Formulas is probably the most popular way you will see functions represented. For example, we can write a function that looks like this with this formula. F of X equals X squared in the same way we can represent this function as a graph. Grafts help us see functions visually so excoriate looks something like this a parappa for tables. We can make a table with inputs and outputs. So if I am put one for X, then I will get the output one. If I input to for X, I will get the are put before and with words will probably see functions represented as words in word problems.

What if we said multiply to an ad three. When we're talking about functions that would mean f of X axis? In quote, we would take the input multiplied by two and then add three. So that's a verbal that sales break. No, I'm gonna jump over to desk most graphing calculator and finish that up. It's what we said. Our function is to X plus three numerically, if we look at a table of values, OK, here is numerically when I f when x is negative. Two f of X is negative. One input output pushed into paragraph Korean line. Connect him. In this instance, you would connect him with a straight line because the biz example is linear.

All right, So this says, just tow, Think of a function and represented in the four way. So we know that there was verbal. We know that there was al debris. We know that there was a table and a graph. So if we think about a verbal description, say, for instance, we know that there's a catering company. There's 100 and $75 um deposit, and maybe they charge and ah, let's say they charge $10 per plate. Okay, So, algebraic li, we have our function, which is equal to $175 deposit, plus the $10 her plate where X is the number of plates. So if I were going to make a table with that eggs and f of X, say if I had zero guest, those catering people are still going to charge me $175. I have one guest. Then they're going to charge me 1 85 If I have two guests, they're going to charge me 1 95 three guest, I'm looking at, um 205 This must be a very fancy catering company and party. Now, if I were going to do a graph. Then I would know that at zero I would be I think I should count. Um, let's break the graph. I'm a fan of breaking the graph, and, um then we will count by tens, since that's what we went by. OK, so if I start here at 1 75 and then the next one, I do 1 85 and the next one. Whoops. Yeah, 95. Since I have my broken graph. Jeez. And then 205 So now I can label this one too and three. So if I go to grab this zero and 1 75 one here, two here, three here and I actually have a linear function.


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