Question

Help! I’m awful at graphs and stuff

Answer 1

Answer: for b: function one has a greater rate of change

Step-by-step explanation: sorry i don't know the first one

Answer 2

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:

$m=\frac{y2-y1}{x2-x1}$

Plug the points in:

$m=\frac{5-3}{-2-(-1)}\\m=\frac{2}{-1}\\m=-2$

(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.

$m=\frac{4-0}{0-(-1)}\\m=\frac{4}{1}\\m=4$

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!