The graph shows the function f(x).
2 answers:
Answer:
Hence, the average rate of change is:
1.5
Step-by-step explanation:
We have to find the closest value to the average rate of change from x=3 to x=5.
We know that the average rate of change of a function f(x) from x=a to x=b is calculated as:
i.e. here we have:
a=3 and b=5
Now,, from the graph of the function f(x) we could observe that:
and
Hence, the average rate of change from x=3 to x=5 is:
Hence, the average rate of change is:
1.5
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You did not give any choices but this can easily be solved using the FOIL method.
FOIL stands for First, Outside, Inside, Last.
In your equation you have (6x-2)(6x+2)
You will multiply the terms that correspond to each letter
First: Means first terms of each set. In this case 6x and 6x
6x x 6x =
Now you have your first term in the sequence.
Outside: Means terms found in the outside areas of the whole equation, in this case it is 6x and 2
6x x 2 = 12x Now this is the second term
Inside: Means terms found in the inside areas of the whole equation, in this case it is -2 and 6x
-2 x 6x = -12x Now this is your third term
Last: Means the last terms of each set. In this case it is -2 and 2
-2 x 2 = -4 This is your last term
Now you have what you need for your new equation:
Because your second and third terms are like terms, you can combine them by doing the operation indicated. 12x-12x = 0 so now you can cancel it out from your equation and your left with:
This is your product
FOIL stands for First, Outside, Inside, Last.
In your equation you have (6x-2)(6x+2)
You will multiply the terms that correspond to each letter
First: Means first terms of each set. In this case 6x and 6x
6x x 6x =
Outside: Means terms found in the outside areas of the whole equation, in this case it is 6x and 2
6x x 2 = 12x Now this is the second term
Inside: Means terms found in the inside areas of the whole equation, in this case it is -2 and 6x
-2 x 6x = -12x Now this is your third term
Last: Means the last terms of each set. In this case it is -2 and 2
-2 x 2 = -4 This is your last term
Now you have what you need for your new equation:
Because your second and third terms are like terms, you can combine them by doing the operation indicated. 12x-12x = 0 so now you can cancel it out from your equation and your left with: