Please answer each question for Calculus.

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Math 1003(2A) Assignment #2 DUE: September 22. 2023 At the start of class. PLEASE NOTE: Staple your assignment. Write your name and Student Number on First Page. DO NOT EMAIL ME YOUR ASSIGNMENT. Q1. Let f(x) = 4x2 +1; g(x) = vx + 2; h(t) = It -2| a) Find domain and range of each function. b) Decide whether each function is even, odd or neither. c) Evaluate: i) f(2) + g(-1) - 3h(5) iv) (f - 9) (x) ii) (f( x+ h) - f(x))/h v) (gg)(x) iii) g(2a - 1) - h(a + 3) vi) (g . h) (2) Q2. State the implied domain for each of the following functions. Write your answer in interval notation. a) f(x) = 2 -x f) f ( x ) = vx b) g(0)= = g) r(x) = vx(2-x) c) h(x) = v2-x h) z(x) = d) w(x) = (2 - x) i e) k(x) = = x-2 i) f(x) = x2+4- Vx2 -4 x2-5x+6 Q3. Find the zeros of f(x) = |2x - 1| - 3. Q4. Find the inverse of the given function, if it exists. Graph the function and its inverse. Find the domain and range of each function and its inverse. a) h(x) = 6x - 2 b) g(x) = 2x2 + 5 c) f ( x) = = Q5. Complete the square and express the function in vertex form, i.e., f(x) = a(x - h) + k. Provide a sketch of y = f(x), label intercept(s) and vertex. a) f(x) = x2+x+1 b) f(x) = 2x2 - 5x + 7 c) g(x) = 3x - 6x2Q6: With your knowledge of the graph of y = x, use transformation of graphs to sketch on the same axes the graph of y = 2 - - (x-1)2 2 Q7: Find the exponential function f(x) = Ab* who graph is described below. (-1. 3 ) (1. 4) Q8. Simplify as much as possible. In(54) - In(2) In (9) Q9. Solve for x. a) 4*+0.5 = 8V/2 c) logs (3x - 10) = 2 b) e2x = = d) Inx + In(x - 1) = 1 e) log2(x + 5) + log2(x - 1) = 4. c) e2x - 3e* + 2=0 Q10. State the implied domain for each of the following functions. Write your answer in interval notation. a) f(x) = e2x +3 e) f(x) = In(1 - 2vx) b) g (x) = - f) w(x) = In (##2) c) h(x) = logs(x - 1) + logs(x + 2) d) k(x) = In(x+3)