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— [Instructor] Consider the following piece wise function, and we say f(t) is equal to, and they tell us what it's equal to based on what t is, so if t is less than or equal to -10, we use this case. If t is between -10 and -2, we use this case. And if t is greater than or equal to -2, we use this case. And then they ask us what is the value of f(-10)? So t is going to be equal to -10, so which case do we use? So let's see. If t is less than or equal to -10, we use this top case, over here and t is equal to -10, that's the one that we're trying to evaluate. So we want to use this case over here. So f(-10) is going to be equal to -10, everywhere we see a t here, we substitute it with a -10. — 10 squared minus 5 times, actually I don't have a denominator there, I don't know why I wrote it so high. So it's going to be -10 squared minus 5 times -10. So let's see. — 10 squared, that's positive 100 and then negative, or subtracting 5 times -10, this is going to be subtracting -50, or you're going to add 50, so this is going to be equal to 150. F(10) is 150, 'cause we used this case up here, 'cause t is -10. Let's do another one of these examples. So, here we have considered the following piece wise function, alright. What is the value of h(-3)? See when h is -3, which case do we use? We use this case if our x is between negative infinity and zero. And -3 is in between negative infinity and zero, so we're going to use this case over here. If it was positive three, we would use this case. If it was positive 30, we would use this case. So we're going to use the first case again and so for h(-3), we're going to take -3 to the third power. So let's see. H(-3) is going to be -3 to the third power which is -27. And we're done. That's h(-3). Because we're using this case, you could almost ignore these second two cases over here. Let's do one more example. This one's a little different. Below is a graph of the step function g(x) so we can see g(x) over here. It starts when x equals -9, it's at 3, and then it jumps up, and then it jumps down. Match each expression with its value. So g(-3.0001), so -3.0001, so that's over here and g of that, we see is equal to 3. So this is going to be equal to 3 over here. G(3.99999) 3.99999, almost 4, so let's draw a dotted line right here, it's going to be almost 4, well g(3.99999) is going to be 7. We see that right over there. So that is equal to 7. G(4.00001). So g(4) is still 7, but as soon as we go above 4, we drop over here, so g(4.00001) is going to be -3. I wanna, actually, let's focus on that a little more. How did I know that? Well I know that g(4) is 7 and not -3 because we have this dot is circled in up here, and it's hollow down here. But as soon as we get any amount larger than 4, then the function drops to this. So 4.0000, as many, just slightly above 4, the value of our function is going to be -3. Now let's do g(9). So g(9), that's when x is 9, and we go down here. You might be tempted to say it's -3, but you...

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What is using functions in models?

Using functions in models refers to the practice of applying specific mathematical or computational functions within a modeling framework to analyze data, predict outcomes, or simulate scenarios.

Who is required to file using functions in models?

Organizations or individuals that utilize models for financial reporting, regulatory compliance, or research purposes are typically required to file using functions in models.

How to fill out using functions in models?

To fill out using functions in models, one should first identify the required inputs, apply the designated functions correctly, ensure all variables are accurately documented, and then validate the output before submission.

What is the purpose of using functions in models?

The purpose of using functions in models is to enhance the accuracy of predictions, enable complex calculations, streamline data analysis, and provide insights that facilitate decision-making.

What information must be reported on using functions in models?

Information that must be reported includes the model specifications, assumptions, input data, results of the functions applied, and any limitations or uncertainties related to the model.