Which of the statements correctly describe the graph of the function f(x)=6x^2-x^5-8+3x^3

Question

-The degree of f is odd

-f(x) approaches ♾ as x approaches -♾

-f has a zero at x=1

-The leading coefficient of f is positive

-f(x) approaches -♾ as x approaches ♾

-f has a zero at x=2

Answer 1

Will start by writing this in the correct format: f(x) = -x⁵+3x³+6x²-8

-The degree of f is odd - Yes, the degree is the highest exponent, 5

-f(x) approaches ♾ as x approaches -♾ - Yes, you can see this by the graph. Or if you are familiar with the parent function, the parent would go to -∞, But since this this is a reflection on the x axis, it goes to ∞

-f has a zero at x=1 - Yes, if you plug in 1 for x, the equation equals 0

-The leading coefficient of f is positive - No, the leading coefficient is -1

-f(x) approaches -♾ as x approaches ♾ - Yes - Same explanation as the other

-f has a zero at x=2, No, when you plug in 2 for x, you don't get zero