Question

List the ordered pairs for this function using the d C(t) = 8t³ - 9t, D = {0, 2, 3} For the toolbar, press ALT +F¹⁰(PC) or ALT + FN + F¹.

Answer 1

The ordered pairs for the function C(t) = 8t³ - 9t with the domain D = {0, 2, 3} are (0, 0), (2, 46), and (3, 189).

Step-by-step explanation:

To list the ordered pairs for the function C(t) = 8t³ - 9t, with the domain D = {0, 2, 3}, you will need to substitute each value of t from the domain into the function and calculate the corresponding C(t).

Let's calculate the values:

For t = 0: C(0) = 8(0)³ - 9(0) = 0

For t = 2: C(2) = 8(2)³ - 9(2) = 8(8) - 18 = 64 - 18 = 46

For t = 3: C(3) = 8(3)³ - 9(3) = 8(27) - 27 = 216 - 27 = 189

The given function is C(t) = 8t³ - 9t. We are asked to list the ordered pairs for this function using the values t = 0, t = 2, and t = 3. To find the values of C(t), we substitute these values of t into the function:

For t = 0: C(0) = 8(0)³ - 9(0) = 0

For t = 2: C(2) = 8(2)³ - 9(2) = 64 - 18 = 46

For t = 3: C(3) = 8(3)³ - 9(3) = 216 - 27 = 189

The ordered pairs are (0, 0), (2, 46), and (3, 189).