pls include work/steps

This question is based on content from Section 1.1. Determine the following information regarding the function x+1 x24' f(X) = (A) The domain in interval notation. [1 mark]. (B) The equations of the vertical asymptotes. [2 marks]. (C) The x- and y-intercepts. These should be written as points. [2 marks]. This question is based on content from Section 1.2. Exercise 1. Write the equation of the line (in slope-intercept form) that has an x-intercept at -6 and a y- intercept at 2. [2 marks]. Provide a rough sketch of the line indicating the given points. [1 mark]. Exercise 2. For the polynomial f (x) = 3x2 + 6x, determine the following: (A) State the degree and leading coefficient and use it to determine the graph's end behavior. [2 marks]. (B) State the zeros. [2 marks]. (C) State the x- and y-intercepts as points [3 marks]. (C) Determine algebraically whether the polynomial is even, odd, or neither. [2 marks]. This question is based on content from Section 1.3. Solve the following trigonometric equation on the interval [0, 27:]. 6cos2x3 =0. This is a bonus question! It is not mandatory to do this question (you will not be penalized). Note that you cannot get more than 100% on an assignment and bonus marks do not carry over to other assignments. This question is based on content from Section 1.4. Determine the largest domain on which the function f(x) = V9 x is one-to-one and find the inverse on that domain. This question is based on content from Section 1.5. Exercise 1. [1 mark]. Determine the exact solution (i.e. leave as a simplified real number) of the equation: 5" = 125. Exercise 2. [2 marks]. Determine the exact solution (Le. leave as a simplified real number) of the equation: 10g10(x 4) = 2