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a function is a relation for which each of the value from the set the first components of the ordered pairs is related with exactly one value from
definition of a functionnow we need to move into the second topic of this chapter before we do that however we must look a quick definition taken
example write down the equation of a circle alongwith radius 8 amp center -4 7 solutionokay in this case we have r 8 h -4 and k 7
perpendicular to the line given by 10 y 3x -2for this part we desire the line to be perpendicular to 10 y 3x -2 amp so we know we can determine the
parallel to the line specified by 10 y 3x -2in this case the new line is to be parallel to the line given by 10 y 3x -2 and so it have to have the
example determine the equation of the line which passes through the point 8 2 and is parallel to the line given by 10 y 3x -2solutionin both of
determine if the line that passes through the points -2 -10 and 6 -1 is parallel perpendicular or neither to the line specified by 7 y - 9 x 15
slope-intercept formthe ultimate special form of the equation of the line is possibly the one that most people are familiar with it is the
example write down the equation of the line which passes through the two points -2 4 and 3 -5solutionat first glance it might not appear which well
the next special form of the line which we have to look at is the point-slope form of the line this form is extremely useful for writing the equation
first larger the number ignoring any minus signs the steeper the line thus we can use the slope to tell us something regarding just how steep a
standard form of the linelets begin this section off along a quick mathematical definition of a line any equation that can be written in the
x-intercept if an intercept crosses the x-axis we will call it as x-intercept y-interceptsimilar if an intercept crosses the y-axis we will
the last topic that we want to discuss in this section is that of intercepts notice that the graph in the above instance crosses the x-axis in
coordinates for the point the listed first number is the x-coordinate of the point and the second number listed is the y-coordinate of the point
graphing and functions graphingin this section we have to review some of the fundamental ideas in graphing it is supposed
solve following 3x 2 lt 0solutionnow we know that p ge 0 and thus cant ever be less than
solve following2x - 3 7solutionagain p represents the quantity within the absolute value bars thus all we have to do here is plug into the formula
inequalities involving gt and geonce again lets begin along a simple number
solve following 2 x - 4 10solutionthere actually isnt much to do other than plug into the formula as with equations p merely represents
in the earlier section we solved equations which contained absolute values in this section we desire to look at inequalities which contain
example solve following 10 x - 3 0 solutionlets approach this
solve following 2x -
in the last two sections of this chapter we desire to discuss solving equations amp inequalities that have absolute values we will look at