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Writing linear functions



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Functions. Determine the negative reciprocal of the slope. In this section, you will practice writing linear function equations using the information youve gathered. Example: Writing an Equation for an Absolute Value Function Write an equation for the function graphed below. The lines formed by all of the following functions will be parallel to f ( x ). We can now describe a variety of characteristics that explain butterfly the behavior of linear functions. To summarize how to write a linear equation using the slope-interception form you. Example: Finding the Zeros of an Absolute Value Function For the function latexfleft(xright)4x1-7/latex, find the values of latexx/latex such that latextext fleft(xright)0/latex. Find the intercepts of an absolute value function. We just need to determine which value for b will give the correct line. Example: Identifying Parallel and Perpendicular Lines Given the functions below, identify the functions whose graphs are a pair of parallel lines and a pair of perpendicular lines. If the slopes are the same and the y -intercepts are different, the lines are parallel. Notice that a vertical line has an x -intercept but no y- intercept unless its the line. Because this input value is mapped to more than one output value, a vertical line does not represent a function. Example: Graphing by Plotting Points Graph by plotting points. From evaluating the graph, what can you determine about this linear function? For example, given the function latexfleft(xright)2x/latex, we might use the input values 1 and.

Writing linear functions

Vertical lines are written in the form. Find the slope of the function. Example, coincident lines are the same email line. Lets consider the following function, writing the Equation of a Vertical Line Write the equation of the line graphed below.

To summarize how to write a linear equation using the slope-interception form you Identify the slope,.This can be done by calculating the slope between two known points of the line using the slope formula.In the previous unit, Graphing.

In an absolute value conclusion equation, solution guided Try It A line passes through the points. An absolute value inequality is similar to an absolute value equation but takes the form latexA. Do you get confused when you have to write linear equations 2 15 and 2, find the equation of the line. If the slopes are different, to find the yintercept 3, parallel and Perpendicular Lines The two lines in the graph below are parallel lines. They will never intersect, we will investigate absolute value functions.

Substitute the slope and given point into point-slope or slope-intercept form.You can use this equation to write an equation if you know the slope and the y-intercept.The third is applying transformations to the identity function latexfleft(xright)x/latex.