Question

The graphs of the function FF (left, in blue) and GG (right, in red) are below. Let P(x)=F(x)G(x)P(x)=F(x)G(x) and Q(x)=F(x)/G(x).Q(x)=F(x)/G(x). Answer the following questions.

Answer 1

Let me go through with procedure for the first number, then the same would be applied to the next three numbers.

1. P'(1)
Since P(x) = F(x)G(x), then, P(1) = F(1)G(1). From the blue graph, F(1) = 2. From the red graph, G(1) = 3. Thus, P(1) = 2*3 = 6.

2. Q(1)
Q(1) = F(1) / G(1) = 2/3

3. P(6)
P(6) = F(6)G(6) = 5*3 = 15

4. Q(6)
Q(6) = F(6)/G(6) = 5/3