00:02
So let's evaluate the function y equals negative x minus 12 .1 for four different values of x.
00:08
We're going to create a table of values.
00:11
You'll notice my table has x and y side by side to keep it easy to read.
00:15
And then all of the work for each evaluation will be done off to the side.
00:19
To evaluate, we're going to substitute each value of x into the function and find out what y is equal to.
00:25
Let's start with x equals negative 2.
00:27
Y is equal to negative negative 2 minus 12 .1.
00:35
And we can rewrite this as negative negative 2.
00:39
Well, that just becomes positive 2 minus or plus the opposite of 12 .1.
00:46
So there's your negative 12 .1 there.
00:48
And when we add two numbers with opposite signs, we find the difference between their absolute values and keep the sign of the larger.
00:55
So we know this is going to be a negative because 12 .1 is larger than 2.
00:59
And our final answer is going to be 12 .1 minus 2, which is 10 .1, and it stays negative.
01:07
When x equals negative 2, y equals negative 10 .1.
01:12
So following the same pattern for when x is negative 1, we're going to substitute negative 1.
01:17
So we have negative negative 1 minus 12 .1 can be rewritten as positive 1 plus the opposite of 12 .1.
01:27
And again, the result will be negative...