This is a substitution question.
For answer 1, we substitute 3 for n and see if the answer is 2
Does (3-1)^2 +3(3) = 2? and looking at the table below, what is the y value when x = 3?

For answer 2, we substitute -2 for n and see if the answer is 3
Does (-2 – 1)^2 + 3(-2) = 3?
(-3)^2 – 6 = 9 – 6
If we put this equation into Y= using x instead of n we can find the answer on the table.
What is the y value when x = -2?  Is it -15 or is it 3?

f(x) means y!
What is the equation of a line?  y = mx + b where m is slope and b is the y-intercept.  So here the slope is -2 which means as x increases, y decreases.  Look at the 4 tables: only one of them is decreasing when x is increasing.
We need to look carefully because the x values skip from 0 to 2 to 4 to 6.
Let’s check this with the graphing calculator.  Two more points :)

The solution is/are the point(s) that makes the equation true!  For example, the equation
y = 2x + 3 has many solutions including (1,5), (2,7), (3,9) and many more.
Using Regents questions can help students understand content while increasing their confidence and score!!

Which interval has the greatest slope or the steepest portion!!
(1) hour 0 to hour 1, the y value changed from 0 to 2
(2) hour 1 to hour 2, the y value changed from 2 to 3.5
(3) hour 2 to hour 3, the y value changed from 3.5 to 4.5
(4) hour 3 to hour 4, the y value changed from 4.5 to 5
So which has the greatest rate of change?  We can also look at the graph and see the portion that is the steepest.

That’s it!! 2 points

This is a substitution problem so let’s try answer choice (1) first
2(6+2)^2 – 4 is way more than 28

Let’s try answer choice (2):
2(2+2)^2 – 4 = 28  YUP :)

Since 2 works now we just have to see if -6 works as well:
2(-6+2)^2 – 4 = 28 YUP :)

2 more points!!