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:
-4/3
Step-by-step explanation:
y2 - y1 / x2 - x1
-9 - (-1) / 0 - (-6)
-4/3
Answer:18/4= 9/2
24/32= 3/4
Step-by-step explanation:
for 18/4 divide both numbers by 2
= 9/2
for 24/32 divide both numbers by 8
=3/4
Multiplying a number by 4/5 and then dividing by 2/5 is the same as multiplying by 2
First, you divide 4 by 2 before you subtract them by 5 using BODMAS, or BIDMAS.
4 ÷ 2 = 2
5 - 2 = 3
3 is your answer