Question

Which function has the most x-intercepts?

Answer 1

@Hero can you explain to me what steps I take to solve this"?

Answer 2

One step would be to familiarize yourself with the max number of zeroes a cubic function could possibly have.

Answer 3

f(x) obviously has four zeroes. Can h(x) have more zeroes that that?

Answer 4

Only 1

Answer 5

A cubic function can have up to three zeroes right?

Answer 6

Oh wait yes? and a squard one can have up to two

Answer 7

I don't know?

Answer 8

I mean f(x) already has four zeroes. So what do you think this means?

Answer 9

h(x) has more

Answer 10

But h(x) is the cubic function, right? A cubic function can only have up to 3 real zeroes right?

Answer 11

(h)x has less

Answer 12

f(x) could be a quadratic equation then? I am not sure

Answer 13

@Hero

Answer 14

Seriously if nobody is going to answer

Answer 15

How many zeroes does f(x) have?

Answer 16

4

Answer 17

How many does g(x) have?

Answer 18

2 or 3 I am not sure

Answer 19

It only has two considering the restraints from x = 0 to \(x = 2\pi\)

Answer 20

Okay so how do I solve this?

Answer 21

Here's the graph of h(x)
https://www.desmos.com/calculator/gbaecbuhmm

How many zeroes does it have?

Answer 22

3

Answer 23

Okay, so which function has the most zeroes?

Answer 24

So f(x) would be correct answer right?

Answer 25

Hello?

Answer 26

@Hero

Answer 27

Yes, f(x) is correct.

Answer 28

Ty, f(x) was correct. (Just took the test :)