Math 149 Lab 1 Exercises Name your name goes here Section your section number goes here Exercises Exercise 1 Solving a System of Equations Given the system of equations y 2x 2 y 2 x3 7 x2 x 2 Find the three solutions via the following four methods and compare your results Graphically by plotting the two expressions and estimating the points of intersection Through the use of the Solve command Through the use of the Reduce command Through the use of the NSolve command Useful commands for this exercise Plot function1name variable function2name variable variable leftborder righ tborder PlotRange lowborder highborder PlotLabel Title plots two functions and explicitly gives the range of coordinates over which to plot It also allows you to specify a title Solve expression1 expression2 expression3 expression4 variable1 variable2 solves symbolically for the situation where expression1 is equal to expression2 and expression3 is equal to expression4 Reduce expression1 expression2 expression3 expression4 variable1 variable2 solves symbolically for the situation where expression1 is equal to expression2 and expression3 is equal to expression4 NSolve expression1 expression2 expression3 expression4 variable1 variable2 solves numerically for the situation where expression1 is equal to expression2 and expression3 is equal to expression4 Exercise 2 Fun with Plots and Functions Consider the function f x 1 x 1 4x Plot the graph of f and the the graph and the ability to zoom in to find the domain range and zeros of f Useful commands for this exercise 2 Math 149 Lab 1 Exercises nb Plot functionname variable variable leftborder rightborder PlotRange lowborder highborder PlotLabel Title plots a function and explicitly gives the range of coordinates over which to plot It also allows you to specify a title Plot function1name variable function2name variable function3name variable variable leftborder rightborder PlotStyle Color1 Dotted1 Color2 Dotted2 Color3 Dotted3 PlotRange lowborder highborder PlotLabel Title plots three functions and explicitly gives the range of coordinates over which to plot It also specifies color and dotted information and includes a title Exercise 3 Polynomial roots Find all real zeros of the polynomial q x 19 5 x 8 x3 3 x6 Useful commands for this exercise Plot expression variable leftborder rightborder plots an expression in one variable over a region
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