Help! I’m awful at graphs and stuff

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:

Plug the points in:

(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.

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!

6hryt%4578855

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.