The function defined by the equation y = a · xb is called a power function. You can plot the power function y = 10x2 on the interval [0.1, 2] with the commands x = linspace (0.1,2); y = 10*x.^2; plot (x,y). Take the logarithm base ten of both sides of y = 10x2 to get log10 y = 1 + 2 log10 x. Thus, if you plot log10 y versus log10 x, the graph should be a line with slope 2 and intercept 1. You can create a loglog plot with the commands figure, plot (log10 (x), log10 (y)), grid on, then compare the slope and intercept of the result with the predicted result. Follow this procedure for each of the power functions in Exercise. In each case, plot over the interval [0.1, 2].
y = 100x4
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