1. This two part question asks you to determine whether a given map represents a function. stal La (a) Determine whether f: Qx Q→ Q, given by is a function. f(a/b, c/d) = (a + c)/(b+d) f ( ² /, ²) = (a +() (bfd) (b) Determine whether f: Q→ Z, given by is a function. f(a/b) = (a + b)(a − b)

= mx + b. 4. Let m and b be real numbers, and consider the following three functions: f(x) = 2x + 1, g(x) x + 2, and h(x) A. If function f has a codomain of (5, 7) U (7, 9), the largest its domain can be chosen is (2, 3) U (3, 4). Explain. B. If function g has a codomain of (−1, 1) U (1, 3), the largest its domain can be chosen is (-3, 3) U (3, 9). Explain. C. Within the context of the e- definition of a limit, your result from part A suggests that if € is equal to 2, the largest that can be chosen for function f(x) is 1. Explain. =

12) Consider the two functions given below: Function I:f (2) = –9z² + 30z + 100 Function II: 30 20 10 -50 -40 -30 -20 -10 o0 10 20 30 40 50 -10 -30 When these functions are compared, it can be stated that A function I B function I| has the greater value for the y-intercept. However, both functions have positive values for A the slope B the x-intercept all z > 40

all the options are: is or is not