Why is the distributive property appropriate for two-digit multiplication?
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When the domain is ≥ to 0, that basically means that x must be ≥ 0.
Imagine what that looks like.
It would just be the right side of the coordinate plane, right? Because the left side would have negative x values.
We're basically just going to be graphing the line
, except only the part on the right side of the coordinate plane because of course x ≥ 0.
When you have an equation in the form of
, 
is going to be the y-intercept (the point where the line intersects the y-axis) and 
is going to be the slope.
Since the y-intercept is -2, draw a point at (0, -2).
Then, use the slope to find another point on the line.
The slope is 3, which as a fraction would be
.
Slope = rise over run, so basically every change of 1 in x = a change of 3 in y.
Draw a point 3 up and 1 over from (0, -2).<em> (at (1, 1))
</em>Then draw a line through the two points we have graphed. Don't draw past the y-axis on the left side, because of course x ≥ 0.
<em>
And there you go!
</em>
The range of the function is basically the possible values y can have.
Well, since it's not going any lower than the y-intercept (0, -2), the range is ≥ -2.<em>
</em>
Imagine what that looks like.
It would just be the right side of the coordinate plane, right? Because the left side would have negative x values.
We're basically just going to be graphing the line
When you have an equation in the form of
Since the y-intercept is -2, draw a point at (0, -2).
Then, use the slope to find another point on the line.
The slope is 3, which as a fraction would be
Slope = rise over run, so basically every change of 1 in x = a change of 3 in y.
Draw a point 3 up and 1 over from (0, -2).<em> (at (1, 1))
</em>Then draw a line through the two points we have graphed. Don't draw past the y-axis on the left side, because of course x ≥ 0.
<em>
And there you go!
</em>
The range of the function is basically the possible values y can have.
Well, since it's not going any lower than the y-intercept (0, -2), the range is ≥ -2.<em>
</em>
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