1. Let f(r) V4-a. (a) Find f(-5). (b) Find f(h 2). (c) Find the domain of f. (d)

Question

1. Let f(r) V4-a. (a) Find f(-5). (b) Find f(h 2). (c) Find the domain of f. (d) Find the range of f (e) Find the verse of f 2. The graph of a function f is given below. Sketch the other three graphs. 3. Find the limit. (a) lim (b) lim movable discontinuities, vertical asymptotes, horizontal asymptotes. Justify your answers using limits. Sketch the graph of f and label the features you found. 5. Use the graph of f to complete the table. c (c) lim lim (r) lim fa) ls f continuous at c? If ls f differentiable at c? not identify the type of discontinuity. (a) Use the limit process to find f (a). Show all work and use correct notation.

Explanation / Answer

1) f(x)=(4-x)

a) f(-5)=(4-(-5))

f(-5)=9

f(-5)=3

b)f(h+2)=(4-(h+2))

f(h+2)=(4-h-2)

f(h+2)=(2-h)

c)4-x>=0

x<=4

domain is (-,4]

d)range is (0,)

c)y=(4-x)

x=(4-y)

4-y =x2

y=4-x2

f -1(x) =4-x2

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