Determine if the function h(x) = -3 is one to one. Yes, the...

Determine if the function h(x) = -3 is one to one. Yes, the function is one to one. No, the function is not one to one. If the function is not one to one, identify all the elements of the domain listed that have the same function value. If the function is one to one, then state that the function is one to one. The function is one to one. x = 2 x = -1 x = 0 x = 1

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00:02 All right, for this problem, we are supposed to graph a piecewise function and then determine the domain and range from the graph.

00:13 So here, our piecewise function is f of x is equal to x or values of x less than zero, and the function value is negative x or x values greater than or equal to zero.

00:26 So i've started a couple tables of values down below, one for each piece.

00:31 So for our first piece of the function, we're supposed to just use values that are less than zero.

00:38 So how about negative 3, negative 2, negative 1, but not 0? okay, here the output is exactly equal to the value of x.

00:49 So that makes it pretty simple.

00:52 And then we can go ahead and plot those points on the ground.

00:56 Negative 3, negative 3, negative 2, negative 2, and negative 1, negative 1.

01:01 Here i'm just assuming that each grid line is worth one unit.

01:06 I did not do a great job of labeling that on my graph.

01:09 All right, for the second piece of the function.

01:11 The function is equal to negative x for values of x greater than or equal to 0.

01:17 So i'm going to start with equal to 0 and then go up from there.

01:22 And then the function value is the opposite of the x value, while there is no opposite to zero, that's just zero, opposite of one, two, and three...

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