Question

Which values from the list (1, 2, 3, 4, 5, 6, 7, 8) are part of the domain of the function f(x)=−6x+11, given that the range is (-37, -25, -13, -1)? Justify your choices.

a) 1 and 3
b) 2 and 6
c) 4 and 7
d) 5 and 8

Answer 1

The values in the domain of the function f(x)=-6x+11 that correspond to the range (-37, -25, -13, -1) are 2 and 6. This can be derived by solving the equation for each value in the range.

Step-by-step explanation:

The student has asked which values from the list (1, 2, 3, 4, 5, 6, 7, 8) are part of the domain of the function f(x)=-6x+11, given that the range is (-37, -25, -13, -1). To find the corresponding domain values, we plug in each range value into the equation and solve for x.

The correct domain values corresponding to the given range are therefore 2, 4, 6, and 8. Looking at the options provided in the question, the correct choice that matches these values is b) 2 and 6.