Complete the equation for te function picturEd in each mapping diagram. The domain is 1,2,3,4 and the range is 2,4,8,16. The equation is a number times X what's the equation. The book says that the answer is 2x but I don't know how they got that. Please help me anyone!!!!! :(
Yes but 2•3 does not equal 8 it equals 6
Because each number for the range is the domain multiplied by 2. Look at each pair of numbers. domain 1, range 2...isn't 1 x 2 = 2? domain 2, range 4..2 x 2 = 4..etc
the answer is 2x which does not mean the same thing as 2x.
2x means 2x2x2...2 x times.
so 224=2x2x2x2=16, etc.
x 1 2 3 4 5...
2x 2 4 6 8 10...
but
x 1 2 3 4 5 ...
2x 2 4 8 16 32 ...
To determine the equation for the function represented in the mapping diagram, you can analyze the relationship between the domain and range values. In this case, the domain has the values 1, 2, 3, and 4, while the range has the values 2, 4, 8, and 16.
Notice that each range value is 2 times the corresponding domain value. For instance, 2 is 2 times 1, 4 is 2 times 2, 8 is 2 times 4, and 16 is 2 times 8.
Based on this pattern, you can conclude that the equation for the function is "y = 2x." This equation shows that the value of y (from the range) is equal to 2 multiplied by x (from the domain).
Therefore, the book is correct in stating that the equation for the function is y = 2x.