3. Choose two trigonometric identities. At least one of these identities must include the tangent function. A trigonometric identity is some equation incorporating trigonometric functions that is true regardless of the angle measure 0. Prove that each of your trigonometric identities are true using some method other than graphing on Desmos Self-assessment: How did you do on problem 3? Checks:1. Let g(x) = 1 + 3. x+9 a. What are the domain and range of g(x)? Explain your reasoning. b. Use words and sentences to describe the end behavior of g(x). Explain your reasoning. Self-assessment: How did you do on problem 1? Checks: Comments about your work:2. Cardi O went to a party and drank alcohol. She estimated that her blood alcohol content (BAC) was 0.16. BAC decreases by 25% every hour. a. Is this situation describing a linear or exponential decrease? b. Write several sentences to convince me of your answer. Write a function describing this situation. c. Sketch the graph of the function and label the y-intercept (Hint: It might help to start by making a table.) d. Cardi O knows a safe driving level for someone of her weight is 0.04. How long does she need to hang out with her friends (without drinking any more alcohol) before it is safe for her to drive? Show or explain your method for finding this solution.4. Consider the equation f (x) = 2 x+1 + 4 x a. Describe how the graph of f(x) differs from the graph of y = 2 b. Determine the equation of the inverse of f(x). Self-assessment: How did you do on problem 4? Checks: Comments about your work:5. Decide on two functions g(x) and f(x). Make sure g(x) and f(x) are different types of functions. Some types of functions we have covered in this class include exponential, quadratic, logarithmic, linear, cubic, square root, and absolute value. a. What type of functions did you choose for g(x) and f(x)? b. Compute g (x) . f (x). Is it equal to f (x) . g(x)? c. If you had g(x) . f(x) = f(x) . g(x)in part b, find a function k(x) where g (x) . k(x) + k(x) . g(x). If you had g(x) . f(x) + f(x) . g(x) in part b, find a function k (x) where g ( x) . k (x) = k(x) . g(x). Self-assessment: How did you do on problem 5? Checks: Comments about your work