Answer:
6. a) The coordinate of the y-intercept is (0, 4)
b) The y-intercept represent the initial distance before she started hiking
7. The domain of the function is 0 ≤ c ≤ ∞
8. The correct option is;
b. all real numbers from 2.6 to 13"
9. Please find attached the required graph of the function created with Microsoft Excel
Step-by-step explanation:
6. From the given graph, we have;
The coordinate of the y-intercept = (0, 4)
The y-intercept represent the initial distance before she started hiking
7. The given function that models the number of cans Luis will have after his purchase is f(c) = 24·c + 5
The domain of the function is the possible values of "c", which is 0 ≤ c ≤ ∞
∴ The domain of the function = 0 ≤ c ≤ ∞
8. The number of hours Roger plays video games, t is 2 ≤ t ≤ 5
The number of games Roger plays on average within an hour = 2.6 games
The function f(t) = 2.6·t gives the number of games Roger plays in "t" hours
Therefore, we have;
The range = f(2) ≤ f(t) ≤ f(5) = 2.6 × 2 ≤ f(t) ≤ 2.6 × 5 = 5.2 ≤ f(t) ≤ 13
The range of the function = 5.2 ≤ f(t) ≤ 13
The correct option is "b" " all real numbers from 2.6 to 13"
9. Please find the required graph of the function [tex]f(x) = -\left | x - 2 \right | + 3[/tex], created with Microsoft Excel.
