Can someone help me out with these questions and explain them step by step?

Topic 3 - Limits and lim p(x) = For function p(x) = ax, if a is positive and b is an even power, then lim p(x) = * - - 00 7. Write the end behavior of each function below using limit notation: f(x) = x+3x-15 h(x) = (3 - x)(x+ 6)(x - 6) g (x ) = - x+ 7x Topic 4 - Horizontal Asymptotes 8. Identify the equation for the horizontal asymptote in each function below - 2 r (x) = 7 S(x) = 3( x -3)(x+4) x - 5 (x + 3) (x - 4) 9x + 3x t(x) = (x + 3)(x - 4) Topic 5 - Slant Asymptotes 9. Identify the equation for each horizontal OR slant asymptote below 60x 3x + 4 W(x) = (5x+ 3)(2x+ 7 ) u(x) = V(x) = 2x - 7 (-x+4) 3-10x - 20xTopic 1 - Even/Odd functions 1. Determine if each function below is even, odd, or neither. g(x) = x+ 5x+ 7 h (x ) = x- 7x* i(x) = 2x - 4x + 6x k (x ) = x(x - 5x) Even functions have symmetry, therefore f (- x) = f(x) Odd functions have symmetry, therefore f (- x) = -f(x) 2. f(x) is even and f(5) = 3. What is f(- 5)? 3. f(x) is odd and f (7) = 4.5. What is f(- 7)? Topic 2 - Degree and multiplicity 4. For each function below, find the degree of the polynomial and list the zeros (with multiplicity). y = (x- 3)(x - 8) f(x) = 3x(x - 2) (x + 10) g(x) =x +x-30x 5. p(x) = (x + ax + 18), where a is an integer. What are the possible values of a? 6. q(x) = (x + bx + 25), where b is an integer. a. Is it possible for the zero x = 5 to have a multiplicity of 2? If so, find the appropriate value of b. If not, explain why not. b. Is it possible for the zero x = 5 to have a multiplicity of 1? If so, find the appropriate value of b. If not, explain why not