Step-by-step explanation:
if you call this limit to f(x), by the definition of derivatives f(x)=h'(x) such that
then f'(x)=h''(x) then
Answer:
The table represents a linear function because the rate of change is constant or all the points lie on a straight line.
Step-by-step explanation:
From the given table it is noticed that the line passing through the points (2,5), (4,10), (6,15) and (8,20).
The slope of the line is
m= y2-y1/x2-x1 = 10-5/4-2 = 5/2
The slope of line is . It means the value of y increased by 5 if the value of x increased by 2.
From the given points we can noticed that the value of y increased by 5 if the value of x increased by 2. So, the function has same slope for any two points.
Since the rate of change (slope) is same for all points, therefore the table represents a linear function.
If we plot these points on a coordinate plane and connect then we get a straight line. I means it is a linear function.
Answer:
Step-by-step explanation:
Use cross multiplication.
Now divide both sides by 6.
To make the fraction in it's simplest form divide both sides by 2.
Now let us write is as a mixed number.
Hope this helps :-)
Let me know if you have any other questions :-)