Oh, I so agree. My students act like I am subjecting them to cruel and unusual punishment to actually calculate the table values and hand-graph the function.
My mom bought me a four function calculator when I was in 8th grade. It actually worked more like an adding machine at that time . Enter two data values and instruct the calculator what to do. It cost a little more than $30 and I was actually faster in my head for the less complicated computations. It also had to be plugged in.
The funniest graphing calculator story for me. Late 90's and I was teaching Pre-Calculus for the first time. If you remember the old-fashioned way of calculating logarithms, you know where I am going. Finding the Base 10 logarithm of a number between 0 and 1 meant a negative exponent but the log tables were written for positive exponents. So 10^ (9.30103 -10) which is 0.2 actual value shows as -0.69897 on the modern calculator. The answers in the book were different and on the calculator. I had to go to another teacher and ask what the big deal was. I had already figured that out, but I needed confirmation. The class thought I was nuts.
I like the old method better. I think it shows the exponential relationships.






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