Question

A portion of the graph of the function f is shown above. If f(x + 3) = f(x) for all values of x , then f(x) = 0 for how many different values of x between 0 and 122?

Answer 1

In between 0 and 3 there are two values of x such that f(x)=0 right?

Answer 2

@Areesha.1D ???

Answer 3

@sauravshakya I have absolutely no clue!

Answer 4

Look at the graph... it crosses x-axis twice in between 0 and 3.

Answer 5

@sauravshakya right...

Answer 6

@sauravshakya soooo the answer is 2?

Answer 7

nope

Answer 8

Now, the graph of y=f(x) from x=3 to x=6 is same as y=f(x) from x=0 to x=3 as f(x+3)=f(x)

Answer 9

right?

Answer 10

I don't know why this isn't making any sense to me. :3

Answer 11

the graph of y=f(x) from x=3 to x=6 is same as y=f(x) from x=0 to x=3 as f(x+3)=f(x)

Answer 12

u didnt get this?

Answer 13

How?? Nope. Im having like an extreme mindblock or something.

Answer 14

WAIT gotcha!!!

Answer 15

GREAT

Answer 16

Yesss it is.

Answer 17

So, there are 2*40 different values of x in between 0 and 120

Answer 18

Riiiiiight.

Answer 19

Since there is one value of x which is between 0 and 2
So, there must one value of x which is between 120 and 122

Answer 20

Thus, there are 81 different values of x between 0 and 122

Answer 21

got it?

Answer 22

Yes, except between 0 and 2? what value? 0?

Answer 23

we dont the value of x... but we do know that there is one value of x for which f(x)=0
LOOK AT THE GRAPH

Answer 24

Ohhh omg im sorry i didn't have the graph open

Answer 25

@sauravshakya Got it. Thanks!! I just didn't understand how to use the graph :3 what topic of math is this? I need to review it!!

Answer 26

I guess function and relation.

Answer 27

Functions and their graphs yeah... @sauravshakya thanks!