Question

se desmos to sketch the behavior
f(x)=x^5-3x^3+3
what is the degree?
is the degree an even or an odd?
what is the leading coefficient?
is the leading coefficient as a positive or negative?
describe the end behavior?
evaluate the given function when x=2?
what is the constant term?

Answer 1

meant use desmos

Answer 2

Can you not post random stuff... @deathsindragon wants his question answered

Answer 3

Okay so the degree is just the highest exponent in your function of that variable, so 5
The degree is an odd number.
The leading coefficient is the number written in front of the variable that contains the degree, so in this case 1, because x^5 is 1x^5
The leading coefficient is clearly positive, bcuz 1 is a positive number
The End behaviors basically means the limits, so how the functions look as x approaches infinity and negative infinity. So we can see that as x approaches negative infinity, y values approach negative infinity, and as x values approach positive infinity, y values approach positive infinity
Plug x into the function and solve for y,

Answer 4

And lastly, the constant term is the value that can't change because it is not multiplied or divided by a variable, so in this case the constant term is 3.

Answer 5

explain end behavior better plz, i stupid

Answer 6

end behavior is how the graph looks like as x values get bigger and bigger to both the left and the right. So basically when we graphed this as we go further and further to the left (for x-values) we can see the y-values going super far down right? So we can say the end behavior as x approaches negative infinity (larger negative x-values) is negative infinity

Answer 7

As x approaches infinity (larger and larger POSITIVE x-values) we can see that the y-values are approaching infinity, because they are getting bigger and bigger. So we can say that the end behavior as x approaches infinity is infinity

Answer 8

mk and evaluate it with x=2 can u explain that easier

Answer 9

Yeah, you have your function x^{5}-3x^{3}+3, just plug in 2 for x and see what y value you get

Answer 10

Good with everything?

Answer 11

mk, thx

Answer 12

np