Student 1:
f(-1)=2+7(-1)
f(-1)=9(-1)
f(-1)=-9
Student 2:
f(-1)=2+7(-1)
f(-1)=2-7
f(-1)=-5
Function Rule:
f(x)=2+7x
One student is incorrect. Analyze their work to determine which students work is incorrect and describe the mistakes made.
Student 1's work is incorrect. They made a mistake when simplifying the expression "9(-1)". The correct result should be -9, but they mistakenly wrote it as 9. Therefore, their final answer of f(-1)=-9 is incorrect.
Student 2's work is correct. They correctly simplified the expression "2+7(-1)" to get -5 as the final answer for f(-1).
The correct function rule for this problem is f(x)=2+7x.