The following functions all have {1, 2, 3, 4, 5} as both their domain and codomain. For each, determine whether it is (only) injective, (only) surjective, bijective, or neither injective nor surjective. ? ? ? ? ✓1. f v 2. f = = 1 1 4. f(x) ✓ 3. f(x) = 1 2 3 2 4 3 2 3 4 5 1 2 2 3 = ſ³ X - X √x+2 6 - X 4 5 1 2 if x < 3 if x > 3 if x < 4 if x > 4

The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below. C(x) = 4x´ – 400x + 22,500 a. Find the number of bicycles that must be manufactured to minimize the cost. b. Find the minimum cost. ...

Assume that the relation x = √500 + 5y² defines y implicitly as a function of x. Determine y" as a function of y only. y" = (Simplify your answer.)

Locate and classify the discontinuities of f when f(x) = 5x² - 19x - 4 12+x-x² jump dis. r = -4, vert. asymp. x = -3 2. remov. dis. x = -4, vert. asymp. x = 3 3. jump dis. x = -3, vert. asymp. x = 4 4. jump dis.x = 4, vert. asymp. x = 3 5. None of these

Make a table of values for f(x) = x² - 4 showing function values for x = 4, 6, 8,.... f(x) x 4 6 8 00 10 12 14 16

Which of the following values of x would not be in the domain of the function defined by f (x)=*-2? x+3 (1) x =-3 (3) x = 3 (2) x = 2 (4) x = -2 Option 1 Option 2 Option 3 Option 4

Determine the domain of the following function: f(x) Vx + 7 x – 3 Ox> - 7 and z + 3 Or3 and z - 7 Or+3 Or+0 and z + - 7 Or<7 and r 3

Determine the image of the function

Which of the following relations does not represent a function? {(1, 2), (2, 2), (3, 2)} В. ((1, 1), (2, 2), (3,3)) С. ((1,1), (1, 2), (1,3)} D. {(1, 1), (2, 1), (3,1)}

Let g(x) =-5x+2. Evaluate each