Answer:
6,12,15,18
Step-by-step explanation:
in my answer I multiplied each x with 3 and then divided i am not sure how you would do it but normally we would multiply
Given that the function is
We need to determine the average rate of change over the interval 
<u>Value of f(x) when x = 0:</u>
Substituting x = 0 in the function
, we have;



Thus, the value of f(0) is 7.
<u>Value of f(x) when x = 5:</u>
Substituting x = 5 in the function
, we have;



Thus, the value of f(5) is 2.
<u>Average rate of change:</u>
The average rate of change can be determined using the formula,

where
and 
Thus, we have;




Thus, the average rate of change over the interval
is -1.
Answer:
2
Step-by-step explanation:
We take the equation

and substitute the values for each individual variable in the problem. It looks like this:

Now we can solve the equation.
When solved, it equals 2.
Answer: Option A

Step-by-step explanation:
In the graph we have a piecewise function composed of a parabola and a line.
The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.
The equation of this parabola is
Then we have an equation line
Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."
(this is
)
Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle
.
(this is
)
Then the function is:
