Question

I have no clue about this one

Which functions are increasing?



Choose all answers that are correct.

Answer 1

Could you attack a picture?

Answer 2

I think one of the answer choices are D but thats all I know

Answer 3

Increase or decrease of a function is defined as:
\[f-inc: (a,b) \cup (f(a),f(b)) \iff \forall x \in (a,b) \cup (f(a),f(b)) \rightarrow f(a)<f(x)<f(b)\]
\[f-dec: (a,b) \cup (f(a),f(b)) \iff \forall x \in (a,b) \cup (f(a),f(b)) \rightarrow f(a)>f(x)>f(b)\]
This means that you can recognize a function as "increasing", for example, if for any point you choose inside an interval, you will find a point whose image is actually higher on the right side of the chosen point.

Answer 4

hint:
a function \(f(x)\) is an incresing function, if when \(x\) increases also \( f(x)\) inceases

Answer 5

increasing*

Answer 6

oops.. another typo:
increases*

Answer 7

:/ what does x represent> The graph? or just the x axis?

Answer 8

\(x\) represents the independent variable, namely the variable along the horizontal axis

Answer 9

I think that option D is correct

Answer 10

Is the options A & B correct also?

Answer 11

I think that only option B is correct, and option A represents a decreasing function

Answer 12

so, options B and D are the right options

Answer 13

Okay, thanks so much! ^-^

Answer 14

:)