Final answer:
To evaluate the function f(x) = -x + 6x - 7 at r=2, substitute 2 for x in the equation, simplifying to give f(2) = 3.
Step-by-step explanation:
The question asks us to evaluate the function f(x) = -x + 6x - 7 at the value r = 2. To solve this, we substitute the value of r in place of x in the function.
Here's the step by step calculation:
- First, plug in r = 2 into the function: f(2) = -(2) + 6(2) - 7.
- Then, multiply the coefficients by the number: f(2) = -2 + 12 - 7.
- Finally, add and subtract the numbers to find the value: f(2) = 3.
Therefore, the evaluated function value at r = 2 is 3.