Answer:
a) -2 and 4, b) function 2
Step-by-step explanation:
Rate of change is the same thing as slope. For the first function, the table, we can use two of the points and the slope formula. I'll use (-1,3) and (-2,5). Remember the slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Plug the points in:
[tex]m=\frac{5-3}{-2-(-1)}\\m=\frac{2}{-1}\\m=-2[/tex]
(Remember that subtracting a negative = adding. I look at it like the two 'minus' signs form one plus sign, if that helps)
So the slope of function 1 is -2.
We can do the same thing with the second function. Two points that I notice on the graph are (-1,0) and (0,4). Let's use the same slope formula.
[tex]m=\frac{4-0}{0-(-1)}\\m=\frac{4}{1}\\m=4[/tex]
And the slope of function 2 is 4. That answers the first part. The second part asks about rate of change.
Function 2 has a greater rate of change, since 4>-2.
Hope this helps!
