#Graph a piecewise function plus#

#Graph a piecewise function plus#

One, we're approaching negative one plus seven is six. We are approaching, or as x approaches negative Including x equals negative one up to and including, so it's So we're actually able to fill it in, and then when x is negative one, negative one plus seven is Negative two comma five, so it actually includes Two, when x equals negative two negative two plus seven is, The next interval, this one'sДЄ lot more straightforward. I am going to draw my bestДЄttempt, my best attempt, at the line. Little open circle there, and then I'm gonna draw the line. We might be tempted, to just circle in this dot over here, but remember, this intervalДoes not include negative two. Two, we have negative 0.125 times negative two plus 4.75 is equal to, see negative times negative is positive, two times this is going to be point, is going to be positive 0.25 plus 4.75. Includes, so x is defined there, it's less than or equal to, and then we go all the Negative is a positive, and then 10 times this is That is going to be equal to, let's see, the negative times a Let me do it over here where I do the, so we're going to have negative 0.125 times negative 10 plus 4.75. Negative 10, so we would have negative zero, actually

So, when x is equal to 10, sorry, when x is equal to Think about graphing it is let's just plot the endpoints

Line, a downward sloping line, and the easiest way I can Less than or equal to x, which is less than negative two, then our function is definedД«y negative 0.125x plus 4.75. So, let's think about this first interval. This on your own first before I work through it. If you have some graph paper, to see if you can graph Over this interval for x, this line over this interval of x, and this line over this interval of x. You see this right over here,Д®ven with all the decimals and the negative signs, It's defined as a different,Д®ssentially different lines. Have this somewhat hairy function definition here, and I want to see if we can graph it.