This is an example of a piecewise defined function. It means that the function has not a unique formula to represent it, but it depends on "where" you want to compute it.
So, if you choose any input 
, you have two alternative:
- If
(i.e., if you've chosen any input that is not 3), the output will be the opposite of the input you've chosen (
) - If
, the ouput will be -1.
So, let's forget about 
for a moment. For any input you choose, the answer is 
. The graph of this function is the bisector of the second and fourth quadrant.
Now remember that there is our special case: you have to "carve a hole" in our line, at , and assing to this point the value -1, instead of what we would expect, i.e. -3.
So, the graph of this function is the line , except for one point (), where we reassign the value to be -1.
1) Let f(x) be x^3+5x^2+2x+1
Since f(x) is divided by x+1,
R= f(-1) = (-1)^3 + 5(-1)^2+2(-1) + 1
= -1+5-2+1
= 3
2) Let f(x) be x^3 - 6x + 5x +2
Since f(x) is divided by x-5,
R= f(5) = x^3 - 6x^2 + 5x +2
= 5^3 - 6(5)^2 + 5(5) +2
= 125 - 150 + 25 + 2
= 2
Answer:
<u>Hope this helps :-) Answer in black and green (the typed one came out a little small)</u>
Step-by-step explanation:
Answer:
SO EVERYONE WOULD SHOUT LOOK AT THE S CAR GO
Step-by-step explanation:
- The brackets just mean to multiply
- e.g. 3(2)(5) is the same as 3 × 2 × 5
- When you get the answer, find in in the boxes below and write the letter of that equation
- I will not go through each question separately because it would take too long, but will give you the words
Answer:
x = 4
y = 12°
Step-by-step explanation:
Since each angles are equal ,
So each angle is 60°.
=> 5y = 60°
=> y = 60/5°
=> y = 12°
Again all sides will be equal ,
=> 5x - 6 = 3x + 2
=> 5x - 3x = 6+2
=> 2x = 8
=> x = 4
