The average rate of change of function
from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.
The correct option is (A).
What is the average rate of change of a function?
The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function.
Using function notation, we can define the Average Rate of Change of a function f from a to b as:

The given function is
,
Now calculating the average rate of change of function from x = 1 to x = 2.

Now, calculate the average rate of change of function from x = 3 to x = 4.

The jump from m = 10 to m = 40 is "times 4".
So option (A) is correct.
Hence, The average rate of change of function
from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.
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Answer:
x=4
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(6+x) * 6 =(5+x+3) *5
(6+x) * 6 =(x+8) *5
Distribute
36+6x = 5x+40
Subtract 5x from each side
36+6x-5x = 5x-5x+40
36+x = 40
Subtract 36 from each side
36+x-36 = 40-36
x = 4
X = y
y = 4
By the substitution property, we can replace y with 4 in that first equation.
x = 4
The answer is expressions D, E, and G.
In algebra, a ‘term’ usually means the different parts of an expression that are separated by + and - signs.
Options A and B only have 1 term, an x or y³, so these are incorrect.
Option C has 1 term as well, ‘xyz’, because they are all multiplied together which makes it one term.
D and E both have 3 terms each, but F has 4 unique terms so this is incorrect also.
G has 3 unique terms, x³, x^4, and 7x, so this is correct.
When H is expanded, you will end up with more than 3 unique terms, so this is incorrect.
I hope this helps!