How to write a word problem in function notation

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How to write a word problem in function notation

I've put off writing it because I want to make sure I do it justice. Do you ever have a lesson that you are just insanely proud of? This is that lesson for me. Feel free to link to your lesson or tell us about it in the comments! This is probably the longest post I've ever written.

It's also got a ridiculous amount of photos and videos. I hope you will take the time to read through it and offer your feedback in the comments, though.

If you were coming to my class to observe me teach, this is the lesson I would want you to see. I know there are tons of things I could do better that you can see that I can't.

I'm also very interested in hearing your ideas on how I can capture the spirit of this activity and use it to engage students throughout the year. At this point in the year, my Algebra 1 kiddos have reviewed the pre-algebra basics of the real number system, integer operations, and the order of operations.

We learned exponent rules and named polynomials. We're experts hopefully at distributing and undistributing factoring expressions.

The Applet

Equations have been written and solved. Inequalities have been solved and graphed in one variable. Students have learned the definitions of relations and functions. We've also discussed domain and range and independent and dependent variables. We can graph points on the coordinate plane.

We haven't discussed slope or looked at the difference between linear and non-linear functions. Those will come in the next unit. When we discuss how to differentiate between a relation that is a function and a relation that is not a function, I introduced the concept of a function machine.

Humans like functional machines. We like to be able to predict what's going to happen. When we put bread in our toasters, we expect toast.

If we put a toaster strudel in our toaster, we expected a warm, toasted toaster strudel. If we put a bagel in our toaster, we expect a toasted bagel. Because we know the function of a toaster to toast thingswe can predict the output based on the input.

What if this wasn't the case? What if I put in a piece of bread, expecting toast, and a toasted poptart comes out? What if I sometimes get toast and sometimes get a poptart?

Life would certainly be exciting, but nobody in their right mind would buy that toaster for anything more than novelty purposes. If I'm eating breakfast and I like poptarts, I might not be too broken-hearted if I put in bread and got out a poptart.

But, what if I'm wanting to make a BLT on toasted bread? I definitely don't want to eat my bacon, lettuce, and tomato sandwiched between two strawberry poptarts with lots of icing. And, for the record, my BLT would be made with these.

I've never actually eaten actual bacon. After introducing the concept of a toaster as a function machine, I ran across an amazing comment on Sarah Rubin's Everybody is a Genius blog. The comment was from Ms.

how to write a word problem in function notation

And, she suggested showing students that a toaster allows several inputs with the same output. But, it doesn't allow one input to have several outputs. For example, if I put wheat bread in my toaster, I get out toast.If you want the function f to be the rule for squaring a number, multiplying that result by 2, and then subtracting 3, write the function as f(x) = 2x 2 – 3.

You read the function like this: “ f of x is equal to two times x squared minus 3.”. Graph the function and identify its domain and range. Find the value off(x) when x = 2. Explain what the solution means in this situation. Find the value of x so thatf(x) — Explain what the solution means in .

A Guide to Writing Mathematics Dr. Kevin P. Lee Introduction This is a math class! Why are we writing? The function fis globber uxible at x=3. 6 Use mathematical notation correctly.

As you learn to write more complicated formulas, it is all too easy to leave out symbols from formulas. This document is an introductory tutorial to using regular expressions in Python with the re module. It provides a gentler introduction than the corresponding section in the Library Reference.

Regular expressions (called REs, or regexes, or regex patterns) are essentially a tiny, highly specialized. Function Notation Worksheet with Answer Key & Worked Solutions This is a PDF worksheet practice pertains to calculation using Function Notation.

The worksheet consists of 10 problems . Here is a set of practice problems to accompany the Inverse Functions section of the Graphing and Functions chapter of the notes for Paul Dawkins Algebra course at Lamar University.

Higher Order Functions - Learn You a Haskell for Great Good!