X Values

Value in X

Absolute value of 10. or the absolute value of x, when x 10.

And that's true, you are doing that.

Let's do a little work on the side here.

Because here, that obviously works for positive values, because the absolute value of x will be equal to x.

We call each of these sections quadrants

Then if we move counterclockwise around the coordinate plane

And I want to show you one interesting property here.

so it would evaluate to 2.

We get plus 5 times x plus 4.

Whatever function value I get at the positive value of number,

So what's the range?

If someone tells you what y and z is, then that constrains what x is.

Let's now consider linear regressions of standard scores.

Right here.

And then, I'm just going to switch to the y constraint.

We get 25. We can use a variable.

So let's see which of these graphs are functions.

And I'm using the letter r for roots.

If we said that put a little table here. x and y.

Now we know that the y value is positive, we know that the y value is positive.

You can have it the other way around.

So it's going to be 3 plus delta x.

8 in the horizontal direction.

But they're really saying the exact same thing

So this is for y is equal to x squared.

I'm just gonna make a symbol.

We have some f of x less than a.

If x squared is added to x, the sum is equal to 42.

That's 2.

So this becomes 5 plus or minus 11 over 24.

Find the absolute value of x when x 5, x 10 and x 12

If I want translate 5 in the horizontal direction, the x value is going to get to 8.

Let's factor out a 2x, so this would become 2x times well, 2x squared divided by 2x is just going to be x.

localldx.

What's kind of cool, the integral of e to the x cosine of x is this expression that's e to the x cosine of x plus e to the x sine of x divided by 2.

I can associate each of these pairs of values with a point in two dimensions.

Well, it's 0 here because we were at the origin.

That's y equals 0 right there.

So now let's see.

Just remember, you're going 1 over 4A below the vertex.

What is minus 3?

We're going to be on this of the coordinate plane.

It has the same x value.