B. C. Curves 1. B. Basics: We will typically graph curves by solving for (X,Y) coordinates...

 

 

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B. C. Curves 1. B. Basics: We will typically graph curves by solving for (X,Y) coordinates and plotting points. We will often work with equations that take the functional form: Z=f(X,Y) 2. Example A. Slope of Curves Consider the function Z = XY = X*Y* Basics. Along a curve, slope is different at every point. In this course, we will use different ways to find the slope (m=Ay): . a. b. Example a. Graph the Z = 4 curve by plotting points. Note: Be sure to show your work and label the axes. You can use increments of 2 on both axes. b. Between two points (less precise) At a specific point (more precise) i. ii. aph Use this graph to answer questions below. Be sure to show your work. Draw a tangency (graph) & estimate slope of tangency Use derivatives if given a function (shown later on the handout) Determine the slope between points A and B Determine the slope at point B. Y 10 4 A 4 B 12 B. C. Curves 1. B. Basics: We will typically graph curves by solving for (X,Y) coordinates and plotting points. We will often work with equations that take the functional form: Z=f(X,Y) 2. Example A. Slope of Curves Consider the function Z = XY = X*Y* Basics. Along a curve, slope is different at every point. In this course, we will use different ways to find the slope (m=Ay): . a. b. Example a. Graph the Z = 4 curve by plotting points. Note: Be sure to show your work and label the axes. You can use increments of 2 on both axes. b. Between two points (less precise) At a specific point (more precise) i. ii. aph Use this graph to answer questions below. Be sure to show your work. Draw a tangency (graph) & estimate slope of tangency Use derivatives if given a function (shown later on the handout) Determine the slope between points A and B Determine the slope at point B. Y 10 4 A 4 B 12