what is the average rate of change from 2 to 9 of the function represented by the graph?

-3/7

Step-by-step explanation:

It is asking to find the slope of the secant line going through points (2,f(2)) and (9,f(9)).

We must find f(2) by looking at the curve at x=2. We should see that y=2 there so f(2)=2.

We must find f(9) by looking at the curve at x=9. We should see that y=-1 there so f(9)=-1.

The slope of a line is calculated by finding the ratio of the change of y to the change of x.

(-1-2)/(9-2)

(-3)/(7)

-3/7

good luck on your studies! : )

david edward.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: