![]() g(3.99999) 3.99999, almost 4, so let's draw a dotted line right here, it's gonna be almost 4, well g(3.99999) is going to be 7. So this is going to beĮqual to 3 right over here. So g(-3.0001), so -3.0001, so that's right over here and g of that, we see is equal to 3. It starts when x equals -9, it's at 3, and then it jumps up, and then it jumps down. Below is a graph of the step function g(x) so we can see g(x) right over here. ![]() Because we're using this case, you could almost ignore h(-3) is going to be -3 to the third power which is -27. So we're going to use the first case again and so for h(-3), we're gonna take -3 to the third power. ![]() If it was positive 30, we would use this case. ![]() If it was positive three, we would use this case. Negative infinity and zero, so we're gonna use thisĬase right over here. What is the value of h(-3)? See when h is -3, which case do we use? We use this case if our x f(10) is 150, 'cause we used this case up here, 'cause t is -10. 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. 10 squared minus 5 times, actually I don't have a denominator there, I don't know why I wrote it so high. So f(-10) is going to be equal to -10, everywhere we see a t here, we substitute it with a -10. So we wanna use this case right over here. If t is less than or equal to -10, we use this top case, right over here and t is equal to -10, that's the one that 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. And if t is greater than or equal to -2, we use this case. If t is between -10 and -2, we use this case. Following piecewise 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.
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