Final answer:
Graph the function f(I) = 3/4 I - 2 by plotting the y-intercept at (0, -2) and using the slope to find another point and draw a line. For horizontal lines like f(x) = constant, simply draw a line at the constant y-value. For exponential functions, understand the properties like decay rate and mean to sketch the curve.
Step-by-step explanation:
To graph the function f(I) = 3/4 I - 2, first recognize that this is the equation of a line with a slope of 3/4 and a y-intercept of -2. Plot the y-intercept at (0, -2), and since the slope is 3/4, for every 4 units you move to the right along the x-axis, move 3 units up to plot another point. Once you have more than one point plotted, draw a straight line through these points to complete the graph of the function. Remember to label the axes with 'x' and 'f(x)', and to scale the axes to accommodate for the maximum x value of 20 if given a range or domain.
When considering other functions such as f(x) = 20/20, f(x) = 10/20, or any other similar function where the numerator is equal to the denominator or a constant, the result would be a horizontal line at the y-value of the resulting number. In cases where you're graphing using a calculator, the 'Y=' key allows you to input the equation and 'ZOOM 9' or a similar function will enable you to see the graph on a standard view.
Graphs of exponential functions, such as f(x) = e^(-0.25x), are also important to understand. Exponential functions would yield a declining curve and understanding the properties of such functions, including decay rate and mean, is crucial.