Input (x) 5 6 7 8 Output (y ) 2 5 8 11 Part A: Do the data in this table represent a function? How do you know? (3 points) Part B: Compare the data in the table with the relation f(x) = 2x + 16. Which relation has a greater value when x = 5, the table or the equation? (2 points) Part C: Using the relation in Part B, what is the value of x if f(x) = 92? Show your work. (5 points)

vgvvbjn

Step-by-step explanation:

bhujjhkvkvkvvhh

-10

-5

5

Step-by-step explanation:

From the answers given, you probably mean f(x) = x^3 + 10x2 – 25x – 250

The Remainder Theorem is going to take a bit to solve.

You have to try the factors of 250. One way to make your life a lot easier is to graph the equation. That will give you the roots.

The graph appears below. Since the y intercept is -250 the graph goes down quite a bit and if you show the y intercept then it will not be easy to see the roots.

However just to get the roots, the graph shows that

x = -10

x = - 5

x = 5

The last answer is the right one. To use the remainder theorem, you could show none of the answers will give 0s except the last one. For example, the second one will give

f((10) = 10^3 + 10*10^2 - 25*10 - 250

f(10) = 1000 + 1000 - 250 - 250

f(10) = 2000 - 500

f(10) = 1500 which is  not 0.

==================

f(1) = (1)^3 + 10*(1)^2 - 25(1) - 250

f(1) = 1 + 10 - 25 - 250

f(1) = -264 which again is not zero