For which set of values is y a function of x?

Option A

Step-by-step explanation:

The set of values for which y is a function of x is the set where each x-value has exactly on y-value. No x-value has more than 1 y-value.

✅Option A: y is A FUNCTION of x because it has exactly one y-value assigned to each x-value.

❌Option B: y is NOT a function of x because there are two y-values, 4 and 2, that are assigned to one x-value, -1.

❌Option C: y is NOT a function of x because there are two y-values, 10 and 12, that are assigned to one x-value, 1.

❌Option D: y is NOT a function of x because there are two y-values, 2 and 4, that are assigned to one x-value, -1.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!