Options
- (A)g(5) = 12
-
(B)g(1) = -2
- (C)g(2) = 4
- (D)g(3) = 18
Answer:
(D)g(3) = 18
Step-by-step explanation:
Given that the function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8
Then the following properties must hold
- The value(s) of x must be between -1 and 4
- The values of g(x) must be between 0 and 18.
- g(-1)=2
- g(2)=9
We consider the options and state why they are true or otherwise.
<u>Option A: g(5)=12</u>
The value of x=5. This contradicts property 1 stated above. Therefore, it is not true.
<u>Option B: g(1) = -2
</u>
The value of g(x)=-2. This contradicts property 2 stated above. Therefore, it is not true.
<u>Option C: g(2) = 4
</u>
The value of g(2)=4. However by property 4 stated above, g(2)=9. Therefore, it is not true.
<u>Option D: g(3) = 18</u>
This statement can be true as its domain is in between -1 and 4 and its range is in between 0 and 18.
Therefore, Option D could be true.
