Answer:
If whenever f is <em>increasing</em> on I.
If whenever f is <em>decreasing</em> on I.
Step-by-step explanation:
These are definitions for real-valued functions f:I→R. To help you remember the definitions, you can interpret them in the following way:
When you choose any two numbers on I and compare their image under f, the following can happen.
- . Because x2 is bigger than x1, you can think of f also becoming bigger, that is, f is increasing. The bigger the number x2, the bigger f becomes.
- . The bigger the number x2, the smaller f becomes so f is "going down", that is, f is decreasing.
Note that this must hold for ALL choices of x1, x2. There exist many functions that are neither increasing nor decreasing, but usually some definition applies for continuous functions on a small enough interval I.
Answer:
x²-2x-99
Step-by-step explanation:
(x-11)(x+9) - foil method
x times x = x squared
x times 9 = 9x
-11 times x = -11x
-11 times 9 = -99
x squared + 9x + 11x + -99
x squared-2x-99
Main street is vertical to park entrance
It is 6 because 6x6x6=216
Answer:
-4 <n <= 5
Step-by-step explanation:
Open at -4 and closed at 5 on number line so the inequality should be
-4 <n <= 5