Does the following table represent a linear equation? So let's see what's going on here. When x is negative 7, y is 4. Then when x is negative 3, y is 3. So let's see what happened to what our change in x was. So our change in x-- and I could even write it over here, our change in x. So going from negative 7 to negative 3, we had an increase in ...
SECTION 4.1 Review: Systems of Linear Equations in Two Variables 177 ExamplE 3 Solving a System Using a Graphing Calculator Solve to two deci-mal places using graphical approximation techniques on a graphing calculator: 5x + 2y = 15 2x - 3y = 16 Solution First, solve each equation for y: 5x + 2y = 15 2y = -5x + 15 y = -2.5x + 7.5 2x - 3y = 16 ...
The calculator will find the domain, range, x-intercepts, y-intercepts, derivative, integral, asymptotes, intervals of increase and decrease, critical points, extrema (minimum and maximum, local, absolute, and global) points, intervals of concavity, inflection points, limit, Taylor polynomial, and graph of the single variable function.
Linear function interactive app (explanation below): Here we have an application that let's you change the slope and y-intercept for a line on the (x, y) plane. You change these values by clicking on the '+' and '-' buttons. After each click the graph will be redrawn and the equation for the line will be redisplayed using the new values.
For line graphs and area graphs, you will be asked to select a background color for your graph, the color you want the grid lines to be, the number of grid lines you want (how many segments do you want the y-axis separated into), whether you want the graph to be 2-dimensional or 3-dimensional, and where you want the legend for your graph to be.
Have students copy the table, write the equation and graph the ordered pairs on the Linear Relations Using Tables, Equations and Graphs worksheet. You may choose not to press for the remaining Y values asking students to substitute the given value for X and find the value for the Y column.
From the table below, you can notice that sech is not supported, but you can still enter it using the identity `sech(x)=1/cosh(x)`. If you get an error, double-check your expression, add parentheses and multiplication signs where needed, and consult the table below.