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:
-12
Step-by-step explanation:
First, solve in parentheses.
2(-2-4)
=
2(-6)
Next, multiply 2 by -6.
Which equals -12.
So therefore using the distributive property shown above, the answer would be -12.
Answer:
Distance around the circle is perimeter.
Perimeter = radius * 2 * π = diameter * π
Step-by-step explanation:
π = constant =3.14
Answer:
cos (105°) = - 2.6
csc (105°) = 1.03
Step-by-step explanation:
Given that cos (-105°) = - 0.26 {The negative sign is due to the angle - 105° lies in the third quadrant where cos value is negative}
Again, given that csc (- 105°) = - 1.03 {{The negative sign is due to the angle - 105° lies in the third quadrant where csc value is negative}
Now, cos (105°) = - 2.6, because 105° lies in the second quadrant and here cos value is negative.
And csc (105°) = 1.03, because 105° lies in the second quadrant and here csc value is positive. (Answer)
