Answer the questions below to determine what kind of function is depicted in the table belov x & 1 & 2 & 3 & 4 & 5 f(x) & -13 & -26 & -52 & -104 & -208 Answer Attempt 1 out of 2 This function is square because

## Step 1: Identify the Pattern### Observe the values of \( f(x) \) as increases. Notice that each value of \( f(x) \) is a multiple of the previous one, specifically doubling each time. This suggests an exponential relationship or a geometric progression.## Step 2: Determine the Function Type### Calculate the ratio between consecutive terms of \( f(x) \):- From \( f(1) = -13 \) to \( f(2) = -26 \), the ratio is .- From \( f(2) = -26 \) to \( f(3) = -52 \), the ratio is .- From \( f(3) = -52 \) to \( f(4) = -104 \), the ratio is .- From \( f(4) = -104 \) to \( f(5) = -208 \), the ratio is .### Since the ratio is constant, this indicates a geometric sequence where each term is multiplied by a constant factor (in this case, 2). However, since the function is linear in terms of multiplication by a constant factor, it can also be represented as a linear function with respect to powers of 2.## Step 3: Formulate the Function### Given the pattern, the function can be expressed as: This is because when , \( f(x) = -13 \times 2^{0} = -13 \), and similarly for other values of .