(f+g)(x) = f(x) + g(x)
(f+g)(x) = 3x-2 + 2x+1
(f+g)(x) = (3x+2x) + (-2+1)
(f+g)(x) = 5x - 1
Answer:
The equation for the trend line would be y = -1/100x + 25
Step-by-step explanation:
In order to find the trend line, we first need to find the slope. To do so, we need to find two points on the line. The points we'll use are (0, 25) and (2500, 0). Next, we use the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (0 - 25)/(2500 - 5)
m = -25/2500
m = -1/100
Now that we have this we can use the slope and the intercept in slope intercept form to model the trend line.
y = mx + b
y = -1/100x + 25
Answer:
Step-by-step explanation:
To solve this, we are using the average rate of change formula:
where
is the average rate of change
is the first point
is the second point
is the function evaluated at the first point
is the function evaluated at the second point
We want to know the average rate of change of the function 
form x = -3 to x = 0, so our first point is -3 and our second point is 0. In other words, 
and 
.
Replacing values
We can conclude that the average rate of change of the exponential equation form x = -3 to x = 0 is
Variable
Step-by-step explanation:
