21 I < - 2 Given the function k(z) 2c2 31 - 1 -2 < I < 3 4x I > 3 Calculate the following values:k( - 1) =k(3)k( - 2) =K(4)k( = 8) =K(10)Question Help: ...

In Exercises $25-28$ , evaluate the function at each value of the independent variable and simplify.
$k(x)=\left\{\begin{array}{ll}{5-2 x,} & {x<-1} \\ {x^{2}+4,} & {x \geq-1}\end{array}\right.$
$$
(a)k(-3) \quad \text { (b) } k(-1)
$$

All right. Folks were doing number 20 eight. Uh, they asked us to evaluate this function at a couple of points. Um, we have two parts to it. Part A. Says what is K of negative three. So we're gonna go ahead and put that negative three in which one do we use? Well, the negative three is less than one. So we're gonna go ahead and say, if X is less than one, which I always listen negative one, which is negative. Three years as well. Then we go ahead and put it in this. And so we got five minus two times our X value, which is equal to five minus little plus because it's two negatives. Six, which is equal to 11. So this is the answer for part A. Next we could do Part B, and then you're asking k of negative one. We use a different one for that because it's equal to negative one. So the piece wise function tells us to go ahead and say, Use the bottom of the two equations, which we're gonna do here, plus four. And that's going to Eagle one plus forward, which is otherwise notice. Five. And that's our answer for me. Thank you very much.

For the given cushion. So listen for the given cushion No fl fi X given, of course, it is in the form it off greater indigent function. This type of function is called greater danger. I function great onto the function. That means here they actually we have to turn it off my technical tricks. That means we have to round off the value and also have to round up the value Hysterical to explain how to make round up. Now we'll see the question. This is the question. Care off X given. Yeah, I just got any differently to express one's now here one way. When will check prostitution is K off X place one by three Substitute place effects We have a substrate one by three. So do we do one by three plus one? How to simplify this Now that is equal toe to develop. But replace one Really get simplify here. Or did you get to plus 3 +135 birth Really get so five betrayal got here so I bet remains three can sufficiently ones that record 60 to go 31.6 will get surrounded off. One The interest one Look at the big cushion K Valium cable is minus 2.1 given. So in the place off fix, we have to subsitute minus 2.1. So two in two minus two point with president will get so that is a canto, uh, to enter minus two. Parliaments 4.2 minus 4.2 plus one. And get so simplify this minus 3.2 we get. So it is in the minus. Better than less than or equal to minus three months. Minus four. We get. So the interest minus four. Now we'll see the sea question over the sneak ocean. Okay, here, off 1.1. The place affects. We have to substance 1.1. So two into 1.1 plus one simplify. That is equal toe 1.1 makes two point. Oh, ever since 2.2 plus one. That means what will get your 3.2 will get so simplify and round off here. Trail gets so trees dancer for this question on Look at the day. Look at their day, get off to buy three. So in the place off takes we have to suction to buy three So two into two by three plus one will get to interview by three plus one that is equal to to those for four by three plus one. You'll get four developed by three plus one. You'll get so this cross multiply four plus 37 by three we get here They raced 90 it We've also reduced to point. I get so on it off. Make it answer toe. So the answer here is to So this is the answer given course.

We'll start off by distributing the negative. Invisible negative one times each of the numbers inside the prophecies as well as 16 negative one times K A. Snicket. Okay, negative one terms. They give 1/2 its positive. 1/2 with a choosers. K left over here 16 times k is 16 k and once extends negative. 51 is negative. 8.5. Now we can take a number and multiplying time was the entire equation. To get rid of these fractions. The denominators of the fractions have a common multiple of six. Symbol multiply times 66 times 2/3 k is four k six times negative. K is negative. Six K six times 1/2 is three six times 16 k is one K and six times negative. 8.5 is negative. 51. Now we can combine like terms for K minus six k is negative. Two K plus three one K minus 51. Now we can take that, uh, negative two K and AMP. Triple sides, these case cancel out and one K plus two case three k. We can do the same with 51 so that all the ones are on the left side. Beast, cancel. Oh, we just have K's on the right side. And on the left side, we have 54. Our last stop would be to divide both sides by three and K is people to 18.

This question. You are given a matrix A. Which is good too? One, three, three, four. And were you in the case where minus E lettuce 552 Is it good to 0? You're asked to find the video. Okay for the situation. So first we'll find a square. She's a question. Game was defender is Where is 1 3-4 one? She she thought so in order to buy this is the first matrix with the columns of second metrics. I don't know. So when we do so we get a square is good too. Mhm. 11111 plus nine, 360 84, 12. See what everyone. three for lovers cheaters? Yeah, 253944, 16. When we saw this, you get a square as if you took one plus nine, easy to 10, Cheapest. 2015, 2015, 1962 mm 1916 to 25. No, is weird. Even the square in venice skate a Yeah -552 Is equal to zero. So it's absolutely it is. Mhm Where? S where is equal to in 15 15, 25. When scary into a. Which is one She she for Lemonis five. I do what I do is 1001. Does he cook too? Non metrics of the same mother. Uh huh. No, we will add this And -1 Cave. Yeah, we get 10 men escape -5 15 minus she Okay -015 -15 city minus zero 25 minus. Okay minus right. Is equal to 0000. When you find this all this we get five minutes kate. 15 minutes. Okay 15 -3 K. Mhm. Mhm. And 20 minus forgive is equal to zero. So we can find out the video. Okay. Right. Mhm. It could indeed. Elements of these mattresses. Right, so five my escape must be equal to zero. Okay. Is equal to right to the answer this question. Thank you for watching video.