Respuesta :

Answer:

  • See below

Step-by-step explanation:

#3

Given function

  • f(x) = 2x + 3

a) Complete the table. Find the values of f(x) or y:

  • x = -1 ⇒ f(-1) = 2(-1) + 3 = -2 + 3 = 1
  • x = 0 ⇒ f(0) = 2(0) + 3 = 0 + 3 = 3
  • x = 1 ⇒ f(1) = 2(1) + 3 = 2 + 3 = 5

b) Plot the points:

  • (-1, 1), (0, 3), (1, 5)

c. The domain the the set of x- values. Since we connect the points, the domain covers the interval between the endpoints:

Domain: {x | -1 ≤ x ≤ 1}

#4

a) The domain is the set of x- values (first number in ordered pairs):

  • Domain: {x | x = -3, -2, 0, 2, 3}

The range is the set of y- values (second in pairs):

  • Range: {y | y = -3 , -1, 1 } (note, repeats are counted as same)

b) Graph by plotting the points:

  • (-3, -3), (-2, -1), (0, 1), (2, -1), 3, -3)

c) The graph is NOT linear as you don't get a straight line if you connect the points

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