During this activity, i discovered how to find out whether a function is even or if it is odd. For even functions the (x,f(x)) correspond to (-x,f(x)). In even functions the line is symmetrical across the y-axis. Odd functions have corresponding values too. The (x,f(x) corresponds to (-x,f(-x)). Also, odd functions have origin symmetry. These functions differ because of the corresponding values for even and odd functions, and their symmetries are different They have similar lines on a graph but because of the difference in symmetry they are not completely alike. Here is a video demonstrating how to find out whether a function is even or odd and gives examples.
I think that Mr. Cresswell will make the shot. The image is located here.
A. Graph a shows a steady rise. The flag gets higher and higher as the time continues.
B. Graph b shows fast rise in the beginning but the slope begins to level off. C. Graph c appears to go up fast then slow down, then repeats until max height. D. Graph d shows a slow beginning but speeds up near the end. E. Graph e shows a slow beginning then the slope becomes steeper, then levels off again. F. Graph f shows that the flag went all the way up in one shot. Graph c seems the most realistic because if i were to hoist a flag i would pull down with one hand then switch and pulled down with the other hand. I think this graph represents that excellently. Graph f seems the least realistic because the flag went all the way up the pull at once. I used my knowledge of many functions to help myself create this smiley face. I used quadratic equations, absolute value, and linear equations. I also used square root functions and cosine functions. These functions allowed me to create the curves i need to make the smiley but these functions also taught me what the what they would look like on a graph and how to identify them.
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AuthorI am Ryan Chamberlin. ArchivesCategories |