Finding the Derivative by the LimitProcess In Exercises 15–28, find the derivativeof the function by the limit process g(x) = −3

Evaluate f(0) and f(4), and determine whether or not the function is continuous at x=6.

x+2 2. Consider the function f (x) |a+2] Does lim f (x) exist? Give reasons for your conclusion. x-2

Numerical Analysis

Transforming functions. Finding g(x).

11:43 AM Tue May 18 Done ビン Review of Transformation of Functions Part I: Short Answer 1) Explain how y |x+3-6 is translated from y = |x. %3D 2) Explain how y = x-5+3 is translated from y = x. 3) Explain how y =f(x-4)-2 is translated from y =f(x). %3D %3D 4) Explain how y=g(x+9) is translated from y = g(x).

B The graph of a function f with f (b) > f (a) is shown above for a ≤ x ≤ b. The derivative of f exists for all x in the interval a < x < b except x = 0. For how many values of c, for a < c < b, does lim f(x)-f(c) f(b)-f(a) x-c b-a X-C Zero Two Three (a, f(a)) Four = (b, f(b)) ? V

g(x) = − 1/2 (x + 4)^2  − 3(a) Identify the parent function f.f(x) =  (b) Describe the sequence of transformations from f to g. (Select all that apply.)horizontal shift of 4 units to the leftreflection in the x-axisvertical stretchvertical shrinkhorizontal shift of 4 units to the rightreflection in the y-axisvertical shift of 3 units downward

Comparing the function f(x)=2∣x−1∣+6 f(x)=2∣x−1∣+6 to its toolkit function, which transformation is not taking place? vertical translation horizontal translation vertical compression vertical stretch

Domain, Range, and Values of aFunction In Exercises 7–10, use the graphof the function to find the domain and rangeof f and each function value.