Answer:
The relation is not a function
The domain is {1, 2, 3}
The range is {3, 4, 5}
Step-by-step explanation:
A relation of a set of ordered pairs x and y is a function if
- Every x has only one value of y
- x appears once in ordered pairs
<u><em>Examples:</em></u>
- The relation {(1, 2), (-2, 3), (4, 5)} is a function because every x has only one value of y (x = 1 has y = 2, x = -2 has y = 3, x = 4 has y = 5)
- The relation {(1, 2), (-2, 3), (1, 5)} is not a function because one x has two values of y (x = 1 has values of y = 2 and 5)
- The domain is the set of values of x
- The range is the set of values of y
Let us solve the question
∵ The relation = {(1, 3), (2, 3), (3, 4), (2, 5)}
∵ x = 1 has y = 3
∵ x = 2 has y = 3
∵ x = 3 has y = 4
∵ x = 2 has y = 5
→ One x appears twice in the ordered pairs
∵ x = 2 has y = 3 and 5
∴ The relation is not a function because one x has two values of y
∵ The domain is the set of values of x
∴ The domain = {1, 2, 3}
∵ The range is the set of values of y
∴ The range = {3, 4, 5}
Answer: Marvin will earn $10,681.77 more in interest than Luis
Step-by-step explanation: A = P(I+r)t
Answer:
Step-by-step explanation:
-3x +12 =x-4
+3x
12 = 4x -4
+4
16 = 4x
Divide by 4
4 = x
Answer:
Choice B
The mathematical model that best fits the data is a polynomial of order 2 as shown on the attachment.
The predicted global mean temperature in 2015 is; 412.24
Step-by-step explanation:
The first step is to obtain a scatter plot of the data and then fit a trend line. A quadratic polynomial fits the data well considering the large value of the coefficient of determination of 0.9984.
To determine the global mean temperature in 2015 we substitute x with 14 in the quadratic model;
y = 0.4643(14)^2 + 0.7976 (14) + 310.07
= 412.24
