Final answer:
The equation that represents the linear function with the given values f(-2) = 4 and f(-3) = 5 is option C) f(x) = -x + 4.
Step-by-step explanation:
The equation that represents the linear function with the given values f(-2) = 4 and f(-3) = 5 is option C) f(x) = -x + 4.
To find the equation, we can set up a system of equations using the given values:
f(-2) = -(-2) + 4 = 6
f(-3) = -(-3) + 4 = 7
The equations for the function will be:
f(x) = mx + b, where m is the slope and b is the y-intercept.
From the system of equations, we can determine that the slope (m) is -1 and the y-intercept (b) is 4.
So, the equation for the linear function is f(x) = -x + 4.