Question

Which of the following correctly describes the nature of each curve below as either f or f ′ ?

Answer 1

f: Curve A, f ′: Curve B ?

Answer 2

nope. what made you think that is the answer?

Answer 3

i mean what is the logic behind your answer?

Answer 4

oh I guessed bc my other answer was wrong

Answer 5

really? i think the other one was right.

Answer 6

f should be curve B

Answer 7

okk idk y my teacher told me that was wrong but thanks for your help!

Answer 8

dont you want to know the reason?

Answer 9

oh yes!

Answer 10

okay so tell me do you know what roots or zeroes of an equation are?

Answer 11

yeah

Answer 12

cool so did you notice graph B is cutting the x axis twice and A is cutting it once?

Answer 13

yep I see that

Answer 14

Awesome so that means B has two real zeroes and A has one real zero. which means B might be a quadratic eqn. ie of power 2 and A must be linear eqn ie power 1

Answer 15

B= ax^2+bx+c
B'=2ax+b=A

Answer 16

get it?

Answer 17

ohh ok that's what I thought thanks so much! :)