Question

The domain of function f(x) is the set of all integers from 0 to 15, and the range of f(x) is the set of all multiples of 5 from 0 to 75.

Part A:
Which of the following points might be on the graph of f(x)?
O (5, 1)
0 (7, 15)
(10, 80)
0 (20, 10)
Part B:
Which of the following statements must be false about f(x)? Select all that apply.
Of(0) = 0
C
f(2)= 1
Of(5) = 5
f(10) = 75
f(15) = 100

Answer 1

Part A:

The correct option is;

(7, 15)

Part B:

The false statements are;

1) f(2) = 1

2) f(15) = 100

Explanation:

Part A:

The given parameters are that the domain of the function f(x) = 0 ≤ x ≤ 15

The range of the function = 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75

Part A:

Therefore, a possible point, (x, y) on the graph = (7, 15)

Part B:

The statements that must be false includes the equation of the input and output are not defined by the given function including;

1) f(2) = 1, because although 2, is a member of the domain of the function, 1 is not a member of the range of the function

2) Similarly, we have;

f(15) = 100 again, 15 is a member of the domain of the function but 100 is not a member of the range.