Question

If f(x) =[x] −2 + 8, what is f(−1.8)? 4 6 10 12

Answer 1

To find f(−1.8), apply the floor function to −1.8 to get −2, substitute it back into the function f(x) = [x] - 2 + 8, and solve to find that f(−1.8) equals 4.

Step-by-step explanation:

To find the value of f(−1.8) when f(x) = [x] - 2 + 8, first we need to understand what the square brackets mean. In mathematics, square brackets are often used to denote the floor function, which rounds a number down to the nearest integer. For the value -1.8, the floor function is -2 because -1.8 is rounded down to the nearest integer less than or equal to -1.8.

Next, we substitute −2 into the function as follows:

• f(−1.8) = [−1.8] - 2 + 8
• f(−1.8) = −2 - 2 + 8
• f(−1.8) = 4

Therefore, f(−1.8) equals 4.