![]() Where the overlap is, the world of functions. This is the world of equations right over here, so Probably equations that are not functionsĪnd functions that are not equations. So Sal, how would youĪnswer this question? What's the difference betweenĪn equation and a function? SALMAN KHAN: Let me thinkĪbout it a little bit. Questions is, what's the difference between anĮquation and a function? SALMAN KHAN: The differenceīetween an equation verses a function, that's an ![]() Of algebra to students, I get a lot of questions. JESSE ROE: Yeah, soĪs an algebra teacher, when I introduce that concept Why we're doing this right now is you had some very Organizing and developing new content, mostly on theĮxercise side of the site. You're with us, luckily, for the summer, doingĪ whole bunch of stuff as a teaching fellow. What classes do you teach? JESSE ROE: I teach algebra, Both functions have the same plug-in variable (the "r"), but "A" reminds you that this is the formula for "area" and "C" reminds you that this is the formula for "circumference". With this notation, you can now use more than one function at a time without confusing yourself or mixing up the formulas, wondering "Okay, which 'y' is this, anyway?" And the notation can be usefully explanatory: "A(r) = (pi)r2" indicates the area of a circle, while "C(r) = 2(pi)r" indicates the circumference. In textbooks and when writing things out, we use names like f(x), g(x), h(x), s(t), etc. Your graphing calculator will list different functions as y1, y2, etc. You do exactly the same thing in either case: you plug in –1 for x, multiply by 2, and then add the 3, simplifying to get a final value of +1.īut function notation gives you greater flexibility than using just "y" for every formula. Now you say "f(x) = 2x + 3 find f(–1)" (pronounced as "f-of-x is 2x plus three find f-of-negative-one"). You used to say "y = 2x + 3 solve for y when x = –1". For functions, the two notations mean the exact same thing, but "f(x)" gives you more flexibility and more information.
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