Q2: (a) Determine which of these functions are injective, surjective, and bijective. The function f : R →R are defined by (i) f(x) = 2r + 1 (ii) f(x) = e" (iii) f(x) = r* – 3r (b) Let f and g both be functions from reals to reals. Let f(r) = 2x – 3 and g(r) = 3r – 4. Define what is ((fo g) o f). %3D

Assume that T is a linear transformation. Find the standard matrix of T.

Use the function f(r) given below to answer the questions that follow. f(r) = – 2(r + 1)( - 3) (r – 1) a) What is the degree of f(r)? b) Fill in the blanks in the sentences below to describe the long-run behavior of the function f(r). As r → o, f(r) → As r - oo, f(r) → c) Identify all horizontal intercepts of this function. Give your answers in the box below as coordinate points (like (- 3, 1)). If there is more than one answer, separate each answer by a comma. d) Find the vertical intercept of this function. Give your answer in the box below as a coordinate point (like (- 3, 1).

Find the domain of the function: f(x) O All Real Numbers O {x\ x=4} Ο Ο Ο O {x|x = 4, x= 3} O (X1X=3) 3} x2 - 5x+6 x² - 7x+12