![]() ![]() The other characteristic of the linear function is its slope, m, which is a measure of its steepness. To find the y-intercept, we can set x=0 in the equation. The first characteristic is its y-intercept which is the point at which the input value is zero. Graphing a Linear Function Using y-intercept and SlopeĪnother way to graph linear functions is by using specific characteristics of the function rather than plotting points. Choosing three points is often advisable because if all three points do not fall on the same line, we know we made an error. Evaluating the function for an input value of 2 yields an output value of 4 which is represented by the point (2, 4). Evaluating the function for an input value of 1 yields an output value of 2 which is represented by the point (1, 2). For example, given the function f\left(x\right)=2x, we might use the input values 1 and 2. In general we should evaluate the function at a minimum of two inputs in order to find at least two points on the graph of the function. We then plot the coordinate pairs on a grid. The input values and corresponding output values form coordinate pairs. To find points of a function, we can choose input values, evaluate the function at these input values, and calculate output values. The third is applying transformations to the identity function f\left(x\right)=x. ![]() The second is by using the y-intercept and slope. The first is by plotting points and then drawing a line through the points. There are three basic methods of graphing linear functions. We were also able to see the points of the function as well as the initial value from a graph. We previously saw that that the graph of a linear function is a straight line. We will also practice graphing linear functions using different methods and predict how the graphs of linear functions will change when parts of the equation are altered. In this section, you will practice writing linear function equations using the information you’ve gathered. ![]()
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