Question

If f(6)=7 and f(3)=2, what are f(−3) and f(10)?

A. f(−3)=−1 and f(10)=15
B. f(−3)=−2 and f(10)=17
C. f(−3)=2 and f(10)=17
D. f(−3)=−1 and f(10)=15

Answer 1

f(-3) = 5 and f(10) = 9

Step-by-step explanation:

To find f(-3), we need to find the value of the function f for the input -3. Since we know that f(3) = 2, we can use this information to find f(-3). The function f is linear, so we can assume that it has a constant rate of change. Since f(3) = 2 and f(6) = 7, the rate of change is (7-2)/(6-3) = 1. Therefore, f(-3) = 2 - 1*(-3) = 5.

To find f(10), we can again use the rate of change between f(3) and f(6). The rate of change is 1, so f(10) = 2 + 1*(10-3) = 9.