The function
1 answer:
Answer:
- The smaller one is x = 3
- and the larger one is x = 6
Step-by-step explanation:
A "critical number" is a function argument where the function has zero or undefined slope. A polynomial function never has undefined slope, so we're looking for the x-values where f'(x) = 0.
A graphing calculator easily shows the points that have zero slope. They are found at x = 3 and x = 6.
_____
Setting the derivative to zero is another way to find the points with zero slope:
f'(x) = 6x^2 -54x +108 = 6(x^2 -9x +18) = 6(x-3)(x-6)
The derivative will be zero where the factors are zero, at x=3 and x=6.
The critical numbers are x=3 and x=6.
You might be interested in
Answer/Step-by-step explanation:
[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
Factoring means to factor a number means to break it up into numbers that can be multiplied together to get the original number.
Answer:
The value of basketball player's autograph a year ago is $280
Step-by-step explanation:
Given as :
The present value of autograph = $ 336.00
The rate of increase of autograph = 20%
The time period = 1 year
Let The value one year ago = $ x
So ,
The value of autograph after n year = The present value ×
Or, $ 336.00 = $ x ×
Or, $ 336.00 = $x × 1.2
∴ x = = $280
Hence The value of basketball player's autograph a year ago is $280 Answer