Could someone show me the steps to figure this out? Identify the leading term, End behavior, x-intercepts, and their multiplicities (

Question

f(x) = -4x^5(x - 11)^2 (x+7)^3

Leading Term: -4x^5

Left Side: ?

Right Side: ?

x-intercepts: 0, 11, -7

Multiplicities: ?

Answer 1

For the leading term multiply the highest powers of x

so -4x⁵ x² x³ so leading term is -4x¹⁰

x intercepts are correct . For multiplicities look at powers so 0 has multiplicity 5, 11 has 2 , and -7 has 3

end behaviour. as x goes to +∞, function goes to - ∞, as all the terms are positive and we have a leading negative sign

as x goes to -∞ same thing happens