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0:24 1:34 10) Evaluate the piecewise function at the given value of the independent \n... YouTube Start of suggested clip End of suggested clip By negative 5 plus 3 when we square a negative 5 you'll get a positive 25. Because 5 negative 5MoreBy negative 5 plus 3 when we square a negative 5 you'll get a positive 25. Because 5 negative 5 times negative 5 is positive 25. Plus 5 divided by negative 5 plus positive 3 will be negative 2.
0:17 4:39 The you know the function is defined using conditional statements which are domain values. And thenMoreThe you know the function is defined using conditional statements which are domain values. And then there's Y values over here which are the range values.
0:00 11:18 Graphing Piecewise Functions - YouTube YouTube Start of suggested clip End of suggested clip It up into the expressions that are make it up so we have f of X remember is the same as Y. So if IMoreIt up into the expressions that are make it up so we have f of X remember is the same as Y. So if I had take the first piece y equals. And I'm gonna take this top part 2x.
The first step in evaluating a piecewise function is to determine which function definition applies depending on the value of x that is being input. Once that has been determined, we evaluate the function as usual by substituting in the given value of x.
0:00 4:37 Piecewise Functions on Desmos - YouTube YouTube Start of suggested clip End of suggested clip Our function in this region. So when X is less than or equal to you actually type in the less thanMoreOur function in this region. So when X is less than or equal to you actually type in the less than symbol and then just press equals on your keyboard. And you'll get that less than or equal to.
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0:12 6:17 In a y equals m x plus b form so then i can just kind of get my mind set up in what they actuallyMoreIn a y equals m x plus b form so then i can just kind of get my mind set up in what they actually mean so this graph this expression be y equals a negative 1.. This would be y equals 2x.
A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x \u2264 -5, f(x) = 6 when -5 < x \u2264 -1, and f(x) = -7 when -1 <x \u2264 9.
0:26 3:49 These piece boom that's y is equal to coz it's a horizontal line now we need to find the equation ofMoreThese piece boom that's y is equal to coz it's a horizontal line now we need to find the equation of this line many ways to do it we can take two points find the slope.
2:34 5:02 Writing an Absolute Value as a Piecewise-Defined Function YouTube Start of suggested clip End of suggested clip I say f of X equals. Now if what's inside here this triangle X minus three if what's inside isMoreI say f of X equals. Now if what's inside here this triangle X minus three if what's inside is positive. Or equal to zero then the output is going to be whatever's inside right.
Tax brackets are another real-world example of piecewise functions. For example, consider a simple tax system in which incomes up to $10,000 are taxed at 10 , and any additional income is taxed at 20% .

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