Denise G. answered • 01/07/21

Algebra, College Algebra, Prealgebra, Precalculus, GED, ASVAB Tutor

Will start by writing this in the correct format: f(x) = -x^{5}+3x^{3}+6x^{2}-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