Answer:
bi) A
bii) -1.5
biii) -1.2, 3.2
Explanation:
bi)
In order to find the curve that is represented by the equation, we need to factorise so we are able to see the real roots - we can then compare them to the roots on the curves drawn.
We can see that the factors of -3 are either -3 and 1 or -1 and 3. We know that these factors must add up to equal the middle term, which in this case is -2. So our factors must be -3 and 1.
Now we need to remember that our intercepts are the negative of our roots.
As we have -3 and +1, our intercepts will be -(-3) and -1. Or 3 and -1.
Curve A is the only curve that intercepts these points.
bii)
For the next part we can either read the values off the graph, or use our equation to determine more precise values. As we are just estimating - we will use the first method.
When x = 2.5, y = -1.5
iii) As the question refers to the word "values" instead of value, we know there is more than one answer. Using the same reasoning for the past question.
When y = 1, x = -1.2, y=3.2